Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2023MathematicsIndefinite IntegrationActual

x+3 (x+4)^2 e^x d x is equal to

Options

  1. Ae^x ( 1 x+4 )+C
  2. Be^ -x ( 1 x+4 )+C
  3. Ce^ -x ( 1 x-4 )+C
  4. De^ 2 x ( 1 x-4 )+C

Correct answer

A. e^x ( 1 x+4 )+C

Step-by-step solution

Suppose, I= x+3 (x+4)^2 e^x d x= (x+4) 1 (x+4)^2 e^x d x = e^x (x+4) - e^x (x+4)^2 d x = e^x ( 1 (x+4) - 1 (x+4)^2 ) d x =e^x 1 (x+4) +C [ e^x f(x)+f^ (x) d x=e^x f(x)+C ]

Practice Indefinite Integration on Quantrex Academy →

More from Indefinite Integration

The value of e^ ( - ) d is 2024⁻¹ x dx is equal to 2023Value of d x x(a-x) is 2023If e ^ x (1+ x ) dx 1+ x = e ^ x f ( x )+ C , then f ( x ) is equal to 2023The value of 1 [(x-1)^3(x+2)^5 ]^ 1 4 d x , is 2022Let f(x)= x^2 d x (1+x^2 ) (1+ .1+x^2 ) . and f(0)=0 , then the value of f(1) be 2022If x (x- ) d x = A x+ B (x- )+ C , then value of (A, B) is 2021The value of ( x) d x is : 2021 Full Indefinite Integration list All BITSAT PYQs