Evaluate: 1+ 2y dy dx •x x2

Q: dx 5x. J 75V9x² – 1

A:

Q: Find - 6x+1 x² +1 -dx.

A:

Q: –dx (1 +x) (x+1)Vx² +2x-2

A:

Q: Vx+I dx. Vx +1

A:

Q: x2+1 - dx x4-x²+1

A:

Q: x Vr2 Vx² + 1 dx 0.

A: Given

Q: dx Vx + a + Vx + b

A: Given: The integral is ∫xx+a+x+bdx

Q: Evaluate dx 2 1-x

A: We have to evaluate ∫23x1-xdx. We know that ∫dxx2-a2 = 12aln x-ax+a+C

Q: X 3- Ssin ² x dx ។

A:

Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

Q: Compute 3+r+1 dx x2

A: Given : ∫233x2+2x+1x2dx

Q: cV9-x² ¢V9¬x² dz dy dx

A: Explanation of the answer is as follows

Q: dx Vx + 1

A:

Q: Show that: -1 xb-1 In x dx b2 2-

A: we use integration by parts

Q: xy2 = 8 at (2,2)

A: Substitute x=2 and y=2 in the given function xy2

Q: dy evaluate dx X +5 If y = %3D 2 - 2x + 3 -

A:

Q: Evaluate x(x2 + 1)3 dx.

A: Given ∫x(x2+1)3dx

Q: (2x - y)dx(x + 4y)dy = 0

A: As per the rules, we can answer only the first question and other can be reposted.

Q: Evaluate I=( (6-x-x²) dx -3

A: Consider the integral: I=∫-326-x-x2dx

Q: 3. Evaluate ry? dz dr dy.

A:

Q: Evaluate х2 + 2х — 1 х3 — х

A:

Q: 2x² − x +4 x³ + 4x Evaluate [ [20 dx.

A: Evaluate