`intxsqrt(1+x^(2))dx=`

A

(a) `(1+2x^(2))/sqrt(1+x^(2))+c`

B

(b) `sqrt(1+x^(2))+c`

C

(c) `3(1+x^(2))^(3//2)+c`

D

(d) `1/3(1+x^(2))^(3//2)+c`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

int(1)/(cos^(-1)x.sqrt(1-x^(2)))dx=

int_(-1)^(1)(sqrt(1+x+x^(2))-sqrt(1-x+x^(2)))dx=

int1/((x-1)sqrt(x^(2)-4))dx=

Evaluate: int1/(x^2sqrt(1+x^2))\ dx

int_(-1)^(1)log(x+sqrt(x^(2)+1))dx=?

int1/(1+sin^(2)x)dx=

int1/(1+cos^(2)x)dx=

Evaluate: int(1+x^2)/(sqrt(1-x^2))\ dx