b2 a? 2 Use Jx dx a

Q: xdx 5. I 4x 2 * – 4x +1

A: Given, ∫xdx4x4-4x2+1    ∫dx3x-73 We have to evaluate the integral

Q: dx 5x. J 75V9x² – 1

A:

Q: 2x dx 2. J 25x2+7

A: To determine:

Q: 2. メ+ 2x

A: I have given an answer in step 2.

Q: Calculate 2 3x-2x²+2 dx. 13 -1

A:

Q: x2+1 - dx x4-x²+1

A:

Q: dx Vx + a + Vx + b

A: Given: The integral is ∫xx+a+x+bdx

Q: 3x? dx 2 + 4x

A:

Q: 5 x´ - 9 -9- +2)x dx X 5.

A:

Q: •B Find 2xVx- 5 dx, where B > 3.

A:

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

A: See the attachment

Q: dx XV. xVx2-4

A:

Q: Compute 3+r+1 dx x2

A: Given : ∫233x2+2x+1x2dx

Q: x? + 2x dx Vx³ + 3x² + 1

A:

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

A: we use integration by parts

Q: -dx x +1 2 5.

A:

Q: 1 3. Evaluate dx, using substitution method. 2

A: The given integral is: ∫1xx+12dx I=∫1xx+12dx    -1

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

A: Given ∫x(x2+1)3dx

Q: Stan 3x sec 3x dx 3.

A:

Q: 2 dx Evaluate J xvx4 + 25

A:

Q: 2х -1 -dx. x +3 Evaluate

A: Let,           I=∫2x-1x+3dx

Q: Evaluate f x²n. x2n-1 x + 1 dx.

A:

Q: Evaluate х2 + 2х — 1 х3 — х

A:

Q: り のx + ex t 1tx - dx x* + 2x t 5

A: (i) ∫dxx=ln(x) (ii) ∫dxx2+a2=1atan-1(xa) (iii) ∫xndx=xn+1n+1, for any real number n.

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

A: Evaluate