Evaluate the following integral, showing all your steps: 2+1 2e* +t dt V4et – t2 d dx - 2x

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A: Since you have asked multiple questions in a single request, we would be answering only the first…

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A: Let's find the value of indefinite integral first: I=∫8-xxdx Substitute 8-x=u⇒-12xdx=du⇒1xdx=-2du…

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A: Explanation of the solution is given below...

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A: given, 4∫0adxa2+x23/2 , a>0

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A: use substitution method  for evaluating the integral.

Q: -2x d.x. | (a² + 1)e .2

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Q: Evaluate the integral (* - 11)"dz, by making the substitution u = x* – 11. + C

A: We will solve this integration by substitution

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Q: Evaluate the given integral using the substitution (or method) dx; u = . 7e +C Show My Work…

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Q: Evaluate the integral. V4– e2¤ dx +C

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Evaluate the integral by making the given substitution. dx u = 7x + 4 (7x + 4)3 + C

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Q: Evaluate the integral. ∫ (-4)dx ______________+ C

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Q: Evaluate the integral (= - 11)" de, 26 by making the appropriate substitution: u = 26 |- NOTE: Your…

A: Proceed as shown below...

Q: Evaluate the integral. 1 x + dx J4

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Q: dx Væ(x+1)

A: Let I=∫14dxxx+1. Put x=t2 and differentiate it with respect to x. ddxx=ddxt21=2tdtdxdx=2tdt

Q: 7. S 8x³ e** dx il ww be 7dx 8. J sec x esinx bne

A: I am attaching image so that you understand each and every step.

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

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Q: evaluate the integral by making the given substitutions

A: Given,

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A: Solving the problem by substitute method.

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Q: Write the iterated integral ∫10-10∫200 (x2y + 2xy3) dy dxwith the order of integration reversed.

A: To evaluate: ∫-1010∫020x2y+2xy3dydx. Evaluating the integral.…

Q: Evaluate the integral.

A: To evaluate: ∫dxx2-4x Given integral can be re-written as: ∫dxx2-4x=∫1x2-4x+4-4dx=∫1x-22-22dx We…

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A: Evaluate the integral .we use partial fraction method to solve this integration. Here i attached…

Q: Calculate the following integral if a=3 and b=9. t3 – t3/2 dt t4 Give your answer correct to 2…

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Q: Find the indefinite integral. 7x + 4e5x dæ ebx + 2e6x Integral = + C

A: Solve the integration .

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Q: Evaluate the integral. r1 x3 - 2x – 10 dx Jo xt — х — 6

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Q: Evaluate the integral: V13 – : 25x?dx + C

A: Formula used: The given integral is: We need to find the value of the given integral.

Q: 3. Which integral should be evaluated using substitution? 9dx (b) dx 1+x2 1+9x2 (a)

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Q: Evaluate the integral. x sec (8x) dx + C

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Q: Evaluate the integral: 3 I= S (³ + 6) [8 (t) + 135 (t – 1)] dt. . -1 Express your answer using three…

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Q: Evaluate the integral. – 17e +C dx

A: Based on the general formula used for integration we will evaluate this integration problem.…

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

A: To find: The integral ∫dt1-7t6. Formula used: Power rule of integration: ∫xndx=xn+1n+1+C

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

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