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

If `int((x^2+1)e^x)/((x+1)^2)dx=f(x)e^x+C,` where C is a constant, then `(d^3f)/(dx^3)` at x = 1 is equal to :

A

`-3/4`

B

`3/4`

C

`-3/2`

D

`3/2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics-Section B|50 Videos
  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION A)|20 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos
  • JEE MAINS 2023 JAN ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|360 Videos

Similar Questions

Explore conceptually related problems

If int (x+1)/(sqrt(2x-1))dx = f(x)sqrt(2x-1)+C , where C is a constant of integration, then f(x) is equal to

If int x^(5)e^(-x^(2))dx = g(x)e^(-x^(2))+C , where C is a constant of integration, then g(-1) is equal to

If int e^(x)((3-x^(2))/(1-2x+x^(2)))dx=e^(x)f(x)+c , (where c is constant of integration) then f(x) is equal to

If int(e^(x)-1)/(e^(x)+1)dx=f(x)+C, then f(x) is equal to

if int x^(5)e^(-x^(2))dx=g(x)e^(-x^(2))+c where c is a constant of integration then g(-1) is equal to

int ((x ^(2) -x+1)/(x ^(2) +1)) e ^(cot^(-1) (x))dx =f (x) .e ^(cot ^(-1)(x)) +C where C is constant of integration. Then f (x) is equal to:

If inte^(x)(1+x^(2))/((1+x)^(2))dx=e^(x)f(x)+c , then f(x)=

If B=int(1)/(e^(x)+1)dx=-f(x)+C , where C is the constant of integration and e^(f(0))=2 , then the value of e^(f(-1)) is

If intxe^(2x)dx is equal to e^(2x)f(x)+c , where c is constant of integration, then f(x) is