Evaluate the integral. (Use C for the constant of integration.) x2 dx 25 – x2

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

A: Integrate the given integrand x/x4+2x2+2 by completing the square method

Q: 5. If a and b are positive constants, evaluate the following integrals: ,-bx e-ax -e -dx; (a) (b)…

A: The objective is to evaluate: ; where a and b are positive constants.

Q: Q17: Find the indefinite integral: Sezt (e2x + 1)° dx

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Q: Q2. Use Integration by parts to evaluate the following integrals Sear cosbx dx

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: a) Integrate the following expressions with respect to x. Then, find the value of the function…

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Q: Q2 - Evaluate the following integrals i. x cosh(x² + 1) dx -0.5

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 2 b) S dx e-x +1

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Q: Evaluate the integral. (Use C for the constant of integration.) 6.3 t0.5 0.5 6e*) dx 6.

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Q: 2,31 dx

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Q: Evaluate the integral. (Use C for the constant of integration.) e60 sin(70) d0

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Q: 2 dx a) Evaluate the integral by completing the square and using a substitution 2 x2-6x+10

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Q: Evaluate the integral. (Use C for the constant of integration.) S. x² – 16 dx x3

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Q: Q I find integrals 3-2X 2 +4X dx

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Q: T 11x + 29 dx The integral is equal to

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Q: II. Perform the integration. 2x + 1 2. dx J 2? + 8x + 25

A: Explanation of the answer is as follows

Q: Evaluate the integral. (Use C for the constant of integration.) xp x + C 9

A: Here we will use the formula of integration.   We know,  integration of Xn dx = Xn+1 /  (n+1 ) + C…

Q: Find the integral. (Use C for the constant of integration.) t (294 - t2)3/2 dt

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Q: Evaluate the integral. •3 dx x4/x² + 3 NOTE: Enter the exact answer.

A: Explanation of the answer is as follows

Q: -1 0 -t³+1 2 3+² e dt

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Q: 8) S-x+3 x2+x-2 dx

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Q: Find the integrals below. a) J(2x + 3)* dx b) (x?(x³ + 3)6 dx

A: Integrate. ∫2x+34dx=2x+355×1ddx2x+3+C=2x+355×12+C=2x+3510+C

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dx,…

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Q: 3 sin (T|3 – 2x|) dx

A: The given integral,   ∫03sinπ3-2xdx

Q: Evaluate the integral. (Use C for the constant of integration. 9r15-r8 e

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Q: dx the correct solution of this integral is:- 1+x A) 2 V5 В) Зл

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x3…

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Q: Decide on what substitution to use, and then evaluate the given integral using integration.) x² dx…

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Q: A. Evaluate the following integrals using the different methods of integration dx 1. (9 + x²)3/2

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Q: dx For the integral L ' (x-1)% which of the following options is correct?

A: Solve: ∫-121x-123dx

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration. 9 +…

A: Solve the following

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: To calculate the integral

Q: Q1 - Evaluate the following integrals i. " xe-*dx

A: We are evaluating the following integral:

Q: b) S x² Sin(x") dx 3

A: Given, ∫x3sinx4dx  We have to determine this integral .

Q: Evaluate the integral. (Use C for the constant of integration.) fa.5* + 9*) dk (1.5× + 9*) dx

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) |…

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Q: Find as many integrals as you can using the formulas and techniques you have studied.…

A: (a) part Consider the given integral ∫dxxx2-1 Use the substitution method to find the integral…

Q: Q3/ Choose the correct answer to evaluate the following integral dx = J。aーメ

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Q: (b) Solve the following integral using the integration by parts method. x2 sin тx dx (ii) e* cos 3x…

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Q: Evaluate the integral. (Use C for the constant of integration.) e-0 cos 80 d0

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Q: dx. (xVz - 5)2 dx.

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Q: b) Evaluate the integral x? e* dx.

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Q: The value of the integral is: b 12 f(x) dx = a

A: Given that the graph of the function  To find the definite integral that represents the shaded area

Q: uate the indefinite integral. (use C for the constant of integration.) dx 7)7 73

A: We have to calculate the given indefinite integral

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x2…

A: Let u=x^3 + 15 find du/dx and substitute in the integral.

Q: Evaluate the integral. (Use C for the constant of integration.) x³ + 9x² + 2x + 9 dx T Tx? + 1)(x² +…

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Q: 2х-х2 dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 15x cos?(x) dx

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