Home
Class 12
MATHS
If I(n)=int x^(n)e^(x)dx, then I(5)+5I(4...

If `I_(n)=int x^(n)e^(x)dx,` then `I_(5)+5I_(4)=`

A

(a) `4x^(4)+e^(x)+c`

B

(b) `5x^(4)e^(x)+c`

C

(c) `x^(5)e^(x)+c`

D

(d) `x^(3)e^(x)+c`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

For n ge 2, " if " I_(n)=intsec^(n)xdx, " then " I_(4)-2/3I_(2)=

If I_n = int sin^n x \ dx, then n I_n - (n-1) I_(n-2) equals

int7e^(7x+5)dx =

Let I_(n)=inttan^(n)xdx , n gt 1 . I_(4)+I_(6)=atan^(5)x+bx^(5)+C , where C is a constant of integration , then the ordered pair ( a , b) is equal to

If I=int(sin2x)/((3+4cosx)^(3))dx , then I=

Let I_(1) =int_(a)^(pi-a)xf(sinx)dx,I_(2)=int_(a)^(pi-a)f(sinx)dx , then I_(2) is equal to

If I_(1)=int_(0)^(pi//2)f(sin2x)sin x dx and I_(2)=int_(0)^(pi//4)f(cos2x)cosx dx , then I_(1)//I_(2) is equal to

If int x^(3)e^(5x)dx=(e^(5x))/(5^(4))(f(x))+c then f(x)=

I_10=int_0^(pi/2)x^(10)sinx dx then I_10+90I_8 is

If I_(n) = int _(0)^(pi//4) tan^(n) theta " " d theta, "then "I_(8)+I_(6)=