Evaluate the integral. 5 x² e dx + C NOTE: Enter the exact answer.

Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. 8x?e"" dx +C

A: Given the integral

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 8 [+][…

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Q: c) I = S sh(3x) e* dx %3D

A: We have find the value of I.  1st of all put sh(3x) .  Next step I have explained in details please…

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 6e*|…

A: Solution of above integral is written in step2.

Q: Evaluate the integral. NOTE: Enter the exact answer. + 13/x| dx +C [ 20:r3

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 9e" + 8e-X dx…

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Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. e8a dx +C

A: We have to evaluate the integral ∫e8x dx.

Q: a. ²₁ (5x¹-2x³) dx

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. S…

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Q: Evaluate the integral. -2x 50хе dx +C NOTE: Enter the exact answer.

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Q: Evaluate the integral. -2x 11 x² d.x + C NOTE: Enter the exact answer.

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Q: Evaluate the integral. 37xe dx +C NOTE: Enter the exact answer.

A: We have to find the integral

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx (7x4 + 6)…

A: Given: ∫x37x4+63dxSubstitute  u=7x4+6       Then dudx=28x3…

Q: Evaluate the integral. NOTE: Enter the exact answer. 1 + 26/x| dx 6x3 +C

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Q: S sec2 70 d0

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Q: 12) Find each integral by substitution a) [xe dx -dx- b) 7+9

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Q: Express the integral in terms of the variable u, but do not evaluate it. e14x-13 dx; и — 14х — 13…

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 3 S[ ²…

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Q: 9, dx 3+x4 1 3C

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Q: 27 dx 37) x2/3 -1 A) 6 B) 12 C) 4 D) diverges

A: Definite integration

Q: Evaluate the integral. HINT [See Example 2.] (x – 6) dx

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 8 dx +C –…

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Q: In Exercises , use a substitution to change the integral into one you can find in the table. Then…

A: 27. Given integral is, ∫x3+x+1x2+12dx.   It is integrated as follows:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 19e" dx 1+…

A: Please see the answer below.

Q: 33) 2xе3x dx - 00 14 A) - 3 B). C) 9 D) diverges

A: The given function has a unique limit, so it is not divergent.

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. J (10a4 + 9)"…

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Q: Completing the square Evaluate the following integrals.

A: The given integral is ∫dxx2+6x+18. Evaluate the above integral as follows.

Q: Find the value of the integral of , 2x? dx. a. 2 b.24 c. 6 d. 8

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [e³ 34x dx =…

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Q: Evaluate the integral by completing the square and applying appropriate formulas from geometry.…

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Q: Evaluate the integral: fe* sinhxdx. Select one: O a. -+C 0b. ²+0 ++ C d+C

A: We can solve this as follows:

Q: 3x?-13х+14 dx 36х2-72х

A: Topic:- integration

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 9et + 8e-* dx…

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Q: Evaluate the integral. 19 dx x²/x² NOTE: Enter the exact, fully simplified answer.

A: Let I = ∫2219 dxx2x2-1

Q: Evaluate the integral. 11 x? -2.r e dx + C NOTE: Enter the exact answer.

A: topic - indefinite integration

Q: Evaluate the integral. You may need to use substitution, complete the square, or some other method…

A: First make a complete square by adding and substracting 9 in  x 2+6x so that we get x 2+6x+9- 9…

Q: Evaluate the integral. r3 dx NOTE: Enter the exact answer.

A: Topic = Integration

Q: Evaluate the integral 50 3)dx - by making the substitution u = x 6 – 3. + C NOTE: Your answer should…

A: We will integrate the following.

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 6e"|…

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 2 +…

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Q: a) I = Sx² e-* dx 2 b) I = S Artan(3x) dx

A: As per our guidelines, we are supposed to solve only the first two problems/subdivisions. Please…

Q: Use the technique of completing the square to evaluate the following integrals. x- 6x Show your…

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Q: Evaluate the integrals. Simplify your answers 3. S(12x5 + 14Vx² + 5csc²x)dx

A: ∫(12 x5 +14x25 +5csc2x)dx= 12 x66 + 14∫x25dx + -5 cotx= 2 x6 + 14 5x757 -5 cotx= 2x6 + 10x75 - 5cotx

Q: Evaluate the integral and choose the correct answer. fxe² dx O Ọ xe ttc o xe etc Ọ - xẻ +C xe - 2e +…

A: Topic = Integration

Q: Evaluate the integral. ,15 dx = + C NOTE: Enter the exact answer.

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Q: Question dx Using an appropriate substitution, the integral is equal to: 6x+40 (Complete the square,…

A: Integrate

Q: Write the integral in terms of u and du. Then evaluate. | 8xe* dx, u = x2 (Use symbolic notation and…

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Q: x2 dx Vx? – 4x + 5

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Q: Evaluate the integral: , (x2 + 3x)² (2x + 3) dx Choose the most appropriate answer. -464.67 O 81.67…

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Q: Using a Table of Integrals with the appropriate substitution, find + 5e2 + 9e dx Vezo – 64 Answer:

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