Intergration problems help please!?

Question

A) int(dx/sqrt 4-x^2)
B) int sq2- 2/sq3 (dx/sqrt x^2-1)
C) int dx/2+(x-1)^2
D) int xdx/9+X^2
E) int dx/7+3X^2

Answer 1

A).

Recall: Integrals with Roots Formula:

Answer 2

D).

Recall: Integrals with Roots Formula:

Answer 3

• B).

Let, .

Derivative on each side.

.

Apply formula : .

Put , .

.

.

Answer 4

•  C).

.

Apply formula : + C.

+ C

+ C.

Answer 5

•  E).

Apply formula : .

.