Q2. Use integration by parts method to evaluate the following integrals. 7. Sx tan-1x dx 8. sei cos 2x de 9. S imx de 10. Scos(in x) dx

Q: Match the Integrals on the left side with the appropriate techni Prompts dx 3+5 cos x sec'x dx dx…

A: As per Bartleby guidelines we're supported to answer only first three subparts. Kindly repost rest.

Q: e17z In(23z)dx By applying integration by parts to the integral we obtain

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Q: 7. Evaluate the following integrals: a. S cosh x sinh x dx b. dx S- 2 + 2x + 3 C.

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Q: b) Calculate the following integrals x²(3x³ + 2)²dx (i) (ii) sin3x e³x dx (ii) (2x22+₁ +*²+2) dx S…

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Q: Evaluate the following integral ex dx (a) S 4 + e2x (Use integration by substitution method) S (x² –…

A: Given: a)  I=∫ex4+e2xdxb)  I=∫03(x3−2x)dx

Q: Q1 - Evaluate the following integrals 2x+5 i. S- dx x²+3x-10

A: We will break it into two parts.

Q: Q2 - Evaluate the following integrals i. S cosx sin*x dx sinh³x -dx cosh®x

A: As per our guidelines we are only supposed to solve first question in case of multiple questions We…

Q: I. Evaluate the following integrals. 1. Sx sin 3x? dx tan y 2. S dy 1-tan²y 3. S sec?(3 – 2t)dt

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Q: 6. Which of the following integrals cannot be evaluated using integration by parts? A. ſe-*sin2x dx…

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Q: Q3:A Evaluate the following integrals: 1- Jz sin? x dx 2- S f(x)dx dx 3- 118

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Q: Q3. Evaluate the following two integrals using both the simple trapezoidal method and once using…

A: We will use the knowledge of the simple trapezoidal method and Simpson's method.

Q: Q2. Use integration by parts method to evaluate the following integrals. 1. dx 2. S cos x? dx -dx 2…

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Q: B- Evaluate the following double integrals: .2 .4 1) | (x+ 3y x²)dy dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Which of the following integrals is NOT appropriate for a substitution method? A 5x*sin(x³)dx ®…

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Q: Q1. Evaluate the following Integrals 1 dx 1- cos x .2 +x - 2x +3 dx

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Q: Q1) Evaluate the following integral using By Parts Method: х.In(x3 + x) dx

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Q: 2e" dx (e – 1)2 1

A: Integral:- An integral is a numerical value equal to the area under the graph of a function for some…

Q: 4. Calculate the following integrals by using the integration methods. (4x* + 8x3 + 15x)dx (a) dx…

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Q: Find the integrals below. а) / 5x dx b) S x2-3x + 2 dx X+1 dx c) S

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Q: Q2 - Evaluate the following integrals i. S cos5x sin*x dx sinhx dx coshºx

A: See the details solution in below

Q: too S. dx b +, X

A: ∫0∞ dxx2+9Formula:∫dxa2+x2=1a tan-1xa +C

Q: Compute the following integrals. 1 t3 (a) dt. Jo V4+ t² (b) e6x cos (3e2) dx. (Hint: you might need…

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Q: Q1) Find the following integrals } 1) S sinh2x sinhx+1 dx 1

A: To solve the given integral

Q: 4. Calculate the following integrals: 4 3 dx 1 – x2 dz 25z2 + 1

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Q: L x(1 – 2r*)° dx

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Q: Evaluate the double integral: To S20 sin(2³) V (Hint: Change the order of integration to dy dr.) -…

A: We have to find value of given double Integration.

Q: Which of the following integrals is NOT appropriate for a substitution method? Jx'sin(x)dx B S5x…

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Q: Q2: Evaluate of the following integrals: 4. S sin xcos dx 5. Sxe*dx

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Q: By making an appropriate substitution, which of the following integrals is equal to dx J* (x² – 9)52…

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Q: I. Evaluate the following integrals. Check by differentiation. 1. S(3x* + x2 – 10x + 6) dx 2. S 3x(x…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Q1) Evaluate the following integral using by parts Method y= Jinx² dx

A: Disclaimer: Since you have posted multiple question, we will be answering first question for you. In…

Q: 6. Sx²e3x*dx 7. Sye-v*dy 8. S sin2x ecos 2x dx 9. S 10-3*dx 10. S a²Ydy

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Q: I. Evaluate the following integrals. 3.x5 dx V2 – x3 1. - 2* + e2" sin(2") dx sin(2") 2. 2x + 3 dx…

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Q: Q2 – Evaluate the following integrals. 1 vi. S7 dx (sinhx+coshx)2

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Q: 1) Calculate the following integrals 1_dx a) S 4x²+25

A: Given; I=∫14x2+25dx    .....(1)   As we know that; ∫1x2+1dx=tan-1x+C

Q: Suppose you want to evaluate the indefinite integral 2x2020 da using integration by parts. Which…

A: We will apply integration by parts formula by choosing appropriate functions as u and v.

Q: 4-Évaluate the following integrals a) In dx b) ] ()"- dx 5/2 tan x

A: Integration:   The collection of all antiderivatives of f is called indefinite integral of f with…

Q: ∫ (e3x+5ex+2  divided by  ex) dx a.) Compute the integral

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Q: 3+n (2x) dx By specifying the +ype of examine it by explainings conveyere integral, x --

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Q: 02: Evaluate the following integrals: secxdx 1. S- VIn(secx+tanx) 3. VInn 2xex² cos(e**) dx

A: Use the substitution method to solve these problems.

Q: For which of the following integrals should substitution be used, instead of Integration by Parts?…

A: Solution :option D substituition be…

Q: Integrate the following integrals. c) dx (Use Substitution method) d) Sx' In xdx (Use by Part…

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Q: Q2: Evaluate the following integrals? 1) [ cos¹x dx 2x dx 2) S (x-2)² (x+2) 3) S: dx

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Q: Evaluate the following indefinite integrals. 1. Jx²dx 2. S(x³ + 2x)dx 3. S(a)dt :a = constant

A: Solving the problem by finding the indefinite integral.

Q: I need to make sure for the answer

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Q: 4) Evaluate the following indefinite integrals. a. S (+ V3 - dx 4 3x2 b. S (2 sec2 x- 5 cscx cot…

A: Integrare

Q: Which of the following integrals represents the length of the curve y = 2", 0<x < 3? 3 А. 1+ 22x dx…

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Q: 1. Evaluate these integrals either by substitution or by integration by parts: cln 2 et a sin(2r) dr…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1. Evaluate the following integrals x² + 6x -dx (a) | x³ cot2(x4) cosec² (x*) dx, (b)|Tr3 – 10 – 5x²…

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Q: 1. Use Numerical methods to approximate the following integrals (a) (x +y)dxdy , n = m = 3

A: Trapezoidal rule: ∫cd∫abf(x, y)dxdy=h2fa, y+2fa+h, y+fa+2h, y+⋯+fa+n-1h, y+fb, ydy, where h=b-an.…

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.