3x3-7x+1 dx # 2) Evaluate the integral X-2

Q: 1 e-r/2 dx = 1. (2m

A: Using double integral of Cartesian form and polar form.

Q: Evaluate the integral 3. 2х dx х2 — 4

A: Will use substitution to find this integral. Substitute x square - 4 is equal to t.

Q: Evaluate the integral. V3/2 5x2 dx V1 - x2

A: Consider the trigonometric identities 1)  cos2x = cos2x - sin2x = 1- 2sin2x 2)  cos2x + sin2x = 1 3)…

Q: Evaluate the integral. X-7 dx X-7 dx = 8 %3D

A:

Q: 2x Use substitution to evaluate the integral dx (x² + 3)°

A: We have to apply rules of integration to solve the problem Power rule: xn =( 1/n+1)(x)n-1

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

A: To evaluate  ∫x2+1x3+3x-53dx

Q: 3 2 dx . 3

A:

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

A:

Q: 4- 2x Evaluate the following integral : dx 2x +4,

A: The answer is π/3.

Q: xt-x³-x-1 x3–x² dx Compute the integral.

A:

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

A:

Q: (b) Evaluate the integral (i) | (2t+5) dt (ii) || 3x- dx 4 -2

A:

Q: evaluate the integral.

A: Given: Or, Now,

Q: -14 dx 4 -2 x+2

A:

Q: Q6) Compute the integral 3 1 dxp -з (х +2)3

A: Here we solve the given integral.

Q: problem in photo attached

A: The integral is given by,

Q: a+bx² dx V3ax+bx3

A:

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. '5 dx L 2- 13/2 (x² – 1)3/2

A:

Q: Evaluate the integral. 9 17 1+ x2 dx V1- x2 +C

A:

Q: 3 Evaluate the integral: dx 2 Vx -1

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: 4х+2 Evaluate the integral -dx. (Hint: Use Algebra to help further rewrite your (x² +1)(x=1)…

A: First break by using partial fraction then integrate

Q: 2x3 + x2 + 4x+ 29 dx. Evaluate the integral: (x² – 2x + 1)(x² + 2x + 9) -

A:

Q: Evaluate the integral. -2. 3 17 secx tanx dx

A:

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

A:

Q: 2x2-6x+8 3-x-V 1-x² The value of the integral dx is

A: We have to calculate the given integral

Q: Evaluate the integral (2х — 8)dx х2 — 6х + 18

A: We know that integration power rule is - Integration of xn is xn+1/n+1+ C  Here C is integration…

Q: aメ+ 3 dx 2+4

A:

Q: -dx. Q5. Evaluate the integral / Tx² + 1)(X · x – 2)

A: Given  α=5 ,β=8 ,γ=13,λ=2 ,θ=5 , η=3 ,ω=2 . To rewrite the given integration by using α=5 and λ=2 .…

Q: 9x -dx. Evaluate the integral / Ta2 + 1)(2x – 2) -

A:

Q: Evaluate the integral -9 dx Vx² + 16

A:

Q: Evaluate the integral. 3 dx -2

A:

Q: Use substitution to find the general integral (x-4) *dx x²(x- 4) $dx = %3D |

A: We have to find the integral

Q: 3 9-x 9-x2 Evaluate the integral dz dy dx. 0 0 . 0

A:

Q: 5. Evaluate the integral. 1 -dx æ² – 1 a) b) S. +4 -dx x² + 4

A:

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

A:

Q: 2 3*-2* 4. dx 4x

A: Let's find integration.

Q: 9x -dx. Evaluate the integral J (x² + 1)(2x – 2)

A:

Q: Evaluate the integral. dx g4 Vx² + 3

A:

Q: Evaluate the integral. dx 2 (a² + x²)3/21 a>

A:

Q: ITT 6 136,- x 36- x2 dz dy dx. Evaluate the integral, 36,-x2 36- x2 dz dy dx=O 0 0 (Type a…

A: Given integral   I=∫06∫036-x2∫036-x2dzdydx

Q: Evaluate the integral. 3 |(3x-2 -7) dx 3 |(3x-2 - 7) dx = 2 (Type an exact answer in simplified…

A:

Q: Evaluate the integral. dx 10% (a2 + x2,3/2 a>0 (a2 + x2)3/2' a > 0

A:

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

A:

Q: 3 1 dx :-1 Evaluate the improper integral: X -

A: ∫031x-1dxlet u = x-1dudx = 1→ du = dx= ∫031udu= ln(u)03

Q: (7Vx2 7V22-9 6. Evaluate the integral: dx x4

A: Given that I=∫7x2-9x4 We can use the substitution technique.

Q: Evaluate the integral 5х — 2 dx (x + 3)2

A:

Q: Step by step

A: To evaluate the below indefinite integral

Q: Q1-Evaluate the integral 2х — 5 dx - х2 — 5х + 1 3

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