Find the indefinite integral. (Use C for the constant of integration.) 8 de cos(8) – 1 8 cot +C

Q: O:: Find the integration for the following functions: - (answer three only) In(x²+x)-Inx-elnx dx…

A: SOME RESULTS(FORMULAS): dlnxdx=1x dxndx=nxn-1 d(sin ax)dx=a cosx d(cos ax)dx=-a sinx ∫sinaxdx=-cos…

Q: In the given equation , select the basic integration formula you can use to find the indefinite…

A: Consider the given integration as ∫1x1-2xdx

Q: 9. For the integral 8 sin" (x)cos(x)dx, if we use the substitution u = sin(x), what will be 3 the…

A: Topic - integration by substitution

Q: Find the following indefinite integral. Use C for the constant of integration. VI + 3 V) dx Answer

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Q: dx = cx – bx? dt

A: Variable separable method

Q: Evaluate the integral. (Use C for the constant of integration.) A) x cos(2x) dx B)e6θ sin(7θ) dθ

A: here we evaluate the integral      (A)   ∫ x cos (2x)dx     (B)  ∫ e6θ sin (70) dθ

Q: Find the following indefinite integrals. (i) (ii) | cos (2x) sin (2xr) dx

A: According to question  given :(i) ∫xex21+ex2dx(ii) ∫cos3(2x) sin2(2x) dx

Q: 2. Find the following indefinite integrals. Use Substitution and/or Integration by Parts when needed…

A: a) Evaluate  ∫sinθcos4θdθ         ...(1) Simplification: Put cosθ=t⇒-sinθdθ=dt in (1)…

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

A: We can find the integration using by parts method

Q: In the given equation as follows, use integration tables to find or evaluate the integral :- see the…

A: ∫0π2x1+sinx2dx Consider, ∫x1+sinx2dx Now put, x2=t⇒2x=dtdx⇒x dx=dt2 Therefore,…

Q: 1. Find the general indefinite integral or evaluate the definite integral, as necessary. a) S csc? 0…

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: 4. Determine the following integrals 4.3 (a? + x*)cos(2x) dx

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Q: In the given equation as follows , use a table of integrals to evaluate the definite integral :- See…

A: Evaluate: ∫0π/213-2 cos θdθ. Apply: cos 2x=1-2sin2 x. ∫0π/213-2 1-2sin2 θ/2dθ=∫0π/21sin2…

Q: Evalute the following integrals. (1) /; COs x -dx. 1+ sin? x 2

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

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

A:

Q: Q: 1. (a) Use an appropriate technique to evaluate the integral dx (2x + 1)v4x2 + 4x (b) Evaluate…

A: 1a): Given integral is: I=∫dx(2x+1)4x2+4x=12∫dx(2x+1)x2+xLet…

Q: Evaluate the integral. (Use C for the constant of integration.) | e20 sin(30) de

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Q: First make a substitution, and then use integration by parts to find the following definite…

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Q: Given ſ 97**sin x (1+ 2 cos x) dx. There is an appropriate value of u so that the resulting integral…

A: given ∫912x+sinx1+2cosxdx this can be written as ∫3212x+sinx1+2cosxdx⇒∫3x+2sinx1+2cosxdx put…

Q: Find the value of following the integral: ☎ COS²T -π1+a* S². dx,a>0

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Q: ( a ..    )Find the approximations   T 8  and    M 8    for the integral integral 0 to 1 cos (x 2…

A: Given, ∫01cos2x dx

Q: Find the indefinite integral using the substitution x = 2 sin(?). (Use C for the constant of…

A:

Q: c) Evaluate the following Integration by parts for definite integrals. i) 11) , 2 Sin-1dx

A: To evaluate the definite integrals by using integral by parts rule.

Q: Evaluate the integral. (Use C for the constant of integration.) ∫ e4θ sin(5θ) dθ

A: we have to find the value of integral ∫e4θsin(5θ)dθ to find the value we use the formula ILATE which…

Q: 3. Using the Trapezoid and Simpson's rules, solve the integral below. a. I = x' In xdx 0,8 b. 1=…

A: To find the value of the integral by trapezoidal or Simpson rule if we take more number of…

Q: II. Perform the integration. sinh?(e¬") dx e# cosh(e-¤) 2 4.

A: Put e-x=t then solve it.

Q: 21) Evaluate or find the following integrals 21.1) J? cot x dx

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Q: dæ What substitution could you make to solve the integral with Vx²+4x+8 a trig sub? x + 2 = 2 cos 0…

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Q: 4) Solve the following integral by rectangular and trapezoidal methods integration (xsin (x) cos (x)…

A: We have to find the integration of the given function using rectangular and trapezoidal methods.

Q: 12 Evaluate the integral e dx dy by reversing the order of integration. NOTE: Enter the exact…

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Q: - ydy (y + 1) - J y + 1

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Q: (d) e" cos x dx

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

A: Consider the expression 3x2-2=u. The power rule of differentiation states that d dx(xp)=pxp-1, where…

Q: 2 dydx -23-1 (xy)³ SS.

A:

Q: Find the value of the constant C for which the integral 6C x² + 9 dx X + 3 converges. C = Evaluate…

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Q: Evaluate the integral. (Use C for the constant of integration.) e^−θ cos(3θ) dθ

A: ∫e-θcos3θdθ We need to Evaluate the integral Using C for the constant of integration.

Q: (а) 4x³ dx -2 (b) | (2г° — Зг + 6) de (c) | (2г — Зг + 6) de

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Q: Evaluate the integral. (Use C for the constant of integration.) 5 cos?x sin 2x dx

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Q: Evaluate the integral. (Use C for the constant of integration.) cos 30 de

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Q: 4) Evaluate the definite integral: s?(2n² - 4x + 8)dx. |

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Q: Find the general indefinite integral. (Use C for the constant of integration.) (u + 9)(5u + 6) du

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Q: Find the general indefinite integral. (Use C for the constant of integration.) Sax ⁹⁹ .99 ax ⁹⁹ +…

A: As per our guidelines we only solve one question (1st question) and rest of the question will be…

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

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Q: Find the indefinite integral. (Use C for the constant of integration.) | VECES + √t(t + t - 4) dt TE

A: Given the query is to finding the integral.

Q: Q;: Find the integration for the following functions: - (answer three only) In(x²+x)-Inx-e!nx 3-S-…

A: Given  1) The integration is  -∫π01-cos(2x)2dx .

Q: 3. Using the Trapezoid and Simpson's rules, solve the integral below. a. I= [x In xdx 0,8 b. 1=…

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Q: Evaluate the integral. (Use C for the constant of integration.) e30 sin(90) d0

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Q: 4. The following integration can be solved by using the technique, where we have u = and du = to get…

A: If you like the solution then please give it a thumbs up.... The Answer is:   1 . substitution…

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) 1…

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