Home
Class 12
MATHS
If f(x) = int ((x^(2) + sin ^(2)x))/(1+x...

If `f(x) = int ((x^(2) + sin ^(2)x))/(1+x^(2))sec^(2)` x dx and f(0) = 0, then f(1) is :

A

`tanx+C`

B

`tanx-tan^(-1)x+C`

C

`tanx+tan^(-1)x+C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)=int(x^(2)+sin^(2)x)/(1+x^(2))sec^(2)xdx and f(0)=0, then f(1)=

If f(x)=int(x^(2)+sin^(2)x)/(1+x^(2))sec^(2)xdx and f(0)=0, then f(1)=

If f'(x)=(dx)/((1+x^(2))^(3//2)) and f(0)=0. then f(1) is equal to

Let f(x)=int x^2/((1+x^2)(1+sqrt(1+x^2)))dx and f(0)=0 then f(1) is

If f(x) = int(5x^(8)+7x^(6))/((x^(2)+1+2x^(7))^(2))dx, (x ge 0) , and f(0) = 0, then the value of f(1) is

If f(x)=int(3x^4-1)/(x^4+x+1)^2dx and f(0)=0 , then f(-1)= …

If f''(x) = sec^(2) x and f (0) = f '(0) = 0 then:

If f(x)=inte^(x)(tan^(-1)x+(2x)/((1+x^(2))^(2)))dx,f(0)=0 then the value of f(1) is

If f'(x) = f(x)+ int _(0)^(1)f (x) dx and given f (0) =1, then int f (x) dx is equal to :

inte^(x)(1+x)sec^(2)(xe^(x))dx=f (x)+ Constant , then f (x) is equal to