25 – x² In -dx , if we let u=/25- x2 , then udu= – xdx. T True F False

Q: 7. y - y = 16

A: The objective is to find the general solution .

Q: Evaluate 3 | ((2 – 1)32, (3 + t)2, 1)dx. 3/2 3/2 -3

A:

Q: 00 22 ex e²x +3 dx

A: to find out the integration.

Q: 3. f; 3x – 1 -dx J 25х? -16

A:

Q: 9x 2 dx ,2

A:

Q: -2 Evaluate (5х — 2) dx -6

A:

Q: Evaluate f(4 – 3x)³ dr

A: The integration of the (4-3x)3 and limit from 1 to 2.

Q: 2х -3 -dx. Evaluate(x-2)(x² + 1)

A:

Q: dx L2 exp %|

A: Given integral is I=∫-∞∞e-x2L2dx This type of integral cannot be done using elementary integration…

Q: Evaluate dx 2 1-x

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

Q: dx. = 9) Evaluate 2x-1

A:

Q: Evaluate dx x3 – 2x2 + x

A:

Q: Evaluate I = / a*. g³ Vx² – 3 dx

A:

Q: Evaluate /x* V5 - x*dx

A: We have to evaluate the integral: ∫x35-x2 dx Rewriting the integral, ∫x35-x2 dx=∫x2x5-x2 dx Now…

Q: Compute 3+r+1 dx x2

A: Given : ∫233x2+2x+1x2dx

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

A: we use integration by parts

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

A: Given ∫x(x2+1)3dx

Q: Evaluate -3)x+3 dx

A:

Q: 11. Evaluate Vx +Vx dx.

A:

Q: e* - x e* et dx = 2x2 + constant 2 х

A: To show that∫ex-xex2x2dx=-ex2x+constant

Q: Evaluate х2 + 2х — 1 х3 — х

A:

Q: iii) So z dx 1+x2

A: Given: ∫01 x1 +x23dx To Evaluate given integral Proof: We will evaluate the given integral by…