Home
Class 12
MATHS
If intx^5e^(-4x^3)dx=(1)/(48)e^(-4x^3)(f...

If `intx^5e^(-4x^3)dx=(1)/(48)e^(-4x^3)(f(x))+c`, where c is contant of intergration then `f(x)` equals to (a) `-4x^3-1` (b) `-1-2x^3` (c) `4x^3+1` (d) `1-2x^3`

A

`-4x^3-1`

B

`4x^3+1`

C

`-2x^3-1`

D

`-2x^3+1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The integral int(2x^(3)-1)/(x^(4)+x)dx is equal to (here C is a constant of intergration)

"If"int(dx)/(x^(3)(1+x^(6))^(2/3))=xf(x)(1+x^(6))^(1/3)+C where, C is a constant of integration, then the function f(x) is equal to

If int ((2x+3)dx)/(x(x+1)(x+2)(x+3)+1)=C-1/(f(x)) where f(x) is of the form of ax^(2)+bx+c then (a+b+c) equals

Ifint(3e^x-5e^(-1))/(4e^x+5e^(-x))dx=a x+bln(4e^x+5e^(-x))+C ,t h e n

If (d)/(dx)f(x)=4x^(3)-(3)/(x^(4)) , then f(x) is

If int((2x+3)dx)/(x(x+1)(x+2)(x+3)+1)=C-(1)/(f(x)) where f(x) is of the form of ax^(2)+bx+c , then the value of f(1) is

If int (x^(6)+7x^(5)+6x^(4)+5x^(3)+4x^(2)+3x+1)e^(x)dx is equal to sum_(k=1)^(alpha) betax^(k).e^(x)+C (where C is constant of integration) then (alpha + beta) is

"If " int e^(x^(3)+x^(2)-1)(3x^(4)+2x^(3)+2x)dx=f(x)+C, " then the value of " f(1)xxf(-1) " is"-.

Differentiate cosec^(-1)(1/(3x-4x^(3))) :