Evaluate the integral x3 dx 2+100 S x3 dx +100 (Use C as the arbitrary constant.)

Q: dx b. (x² + 1)(x² – 2x + 1) -

A:

Q: Evaluate the integral. 3) S- dx x/ 16x2 - 7

A: As per the guideline we are solving only first question. Kindly repost the other question in the…

Q: +1 dx. (x+3:2-5)3

A: To evaluate  ∫x2+1x3+3x-53dx

Q: Evaluate the integral. V3/2 19x2 dx V1 - x2

A:

Q: dx. Evaluate the integral / (x² + 1)(^ · x – 2) -

A:

Q: Evaluate the integral. 3* dx V3* + 4

A:

Q: Evaluate the integral. dx a > 0 (a² + x²j3/2?

A:

Q: Evaluate the integral. dx =, x>6 x - 36 dx x²x - 36

A:

Q: -14 dx 4 -2 x+2

A:

Q: Evaluate the integral. 2х + dx J1

A: We have to evaluate the given integral.

Q: Evaluate the integral. х — 1 dx x2 - 7x - – 8

A:

Q: Evaluate the integral 1 x3 dx. 1+ x2 0.

A:

Q: dx (x-1)/x²+3

A: From the given problem:   I=∫dxx-1x2+3 ...(1)   Now substitute in equation(1).…

Q: 16 – x2 dx - Evaluate the integral: 9x?

A: (A)  x=4sin(θ) (B)  19cot2(θ) (C)  -19θ-19cot(θ) (D)  -19arcsin14x-16-x29x

Q: Evaluate the integral. '5 dx (x2 - 1)3/2

A: *Given integral is, I=∫251x2-132dx Integrate the above expression. I=∫251x2-132dx Put,…

Q: Evaluate the integral. dx 4 a > 0 (a² + x²)3/2?

A:

Q: Evaluate the integral. dx 3 x+Vx² + 27

A:

Q: Evaluate the integral. HINT: 3 x2 dx J2 x - 1

A:

Q: Evaluate the integral.

A:

Q: Evaluate the integral.

A: Given integral: ∫121241-x2dx

Q: 2 dx x3 - x

A: We will find the integral as following.

Q: Evaluate the integral 2.x2 + 6x + 5 dx, x2 + 3x + 2

A:

Q: 4x2 Calculate the integral: dx 3/2

A: I use trigonometric substitution to calculate this integral to see full solution please visit 2nd…

Q: Evaluate the integral. 1/2 2 - 4x + 1 dx x² – 3x +2

A:

Q: Evaluate the integral. х3 — 5х — 8 dx x2 — х — 6 -

A:

Q: dx +4) 10. +1)*(a

A: Since you post three different questions so as per our guideline we can solve only first question…

Q: a) [ Evaluate the integral 4x - 1 (x + 2)(2x - 1) S -dx.

A:

Q: Evaluate the integral

A:

Q: Evaluate the Integral dx 4. S V1-e-2x

A:

Q: Evaluate the integral. X - 4 dx Jo x2 - 5x + 6

A:

Q: Find the integral ∫dx / (2x−1)(x+3).

A: We use partial decomposition

Q: dx 2 (1+3x)2

A: We will find the integral as following.

Q: Evaluate the integral. '5 x - 4 dx x2 - 3x - 18

A: We first factor the denominator. ∫-25x-4x2-3x-18dx=∫-25x-4(x-6)(x+3)dx

Q: Evaluate the integral. dx (x² – 1)3/2

A:

Q: 1. Evaluate the integral 2 dx x2 +4x + 20

A:

Q: Evaluate the integral dx (2x + 4)* by making the appropriate substitution: u = dx (2x + 4)°

A:

Q: Evaluate the integral (2х — 8)dx - x2 – 6x + 18

A:

Q: (a) Evaluate the integral [x (x* -1) ´dx by using substitution.

A: To evaluate the given integral ∫x3x4-12 dx by using substitution.

Q: Evaluate the integral.

A: Evaluate the integral.

Q: Evaluate the integral. dx i. 2 x²Vx2–1°

A:

Q: Solve the integral. dx 6. - Aear V1 – 4e2x

A: ∫dx1-4e2xFormula:∫dx1-x2=sin-1x+C

Q: Evaluate the integral 2∫0(x3−x2)dx.

A:

Q: Evaluate the integral. 8. dx (x² – 1)3/2

A:

Q: Evaluate the integral. B 4х- 3 dx J2

A: To evaluate:

Q: Evaluate the integral. 9. dx J2 (x² – 1)3/2

A:

Q: Evaluate the integral d.x (V4 – x²)³ 0. -

A:

Q: Find the integral [(x** +(-1)°x*!) In((a+2)x)dx b+1 с+1

A: The integral has been solved n attached in the second step.

Q: Evaluate the integral. (x-5)dx 1. 1 (x²-10x+25)2

A: ∫12(x-5)(x2-10x+25)2dx