Home
Class 12
MATHS
If I(n)=int(x^(n))/(1+x^(2))dx, where n ...

If `I_(n)=int(x^(n))/(1+x^(2))dx,` where `n in N`, then : `I_(n+2)+I_(n)=`

A

`(1)/(x)+c`

B

`(x^(n))/(n+1)+c`

C

`(x^(n+1))/(n+1)+c`

D

`(x^(2n+3))/(2n+3)+c`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS MHT-CET EXAM QUESTIONS)|13 Videos

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

  • LINE IN SPACE

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|44 Videos

Similar Questions

Explore conceptually related problems

If I_(n)=int_(0)^(pi//4)tan^(n)x dx , where n ge 2 , then : I_(n-2)+I_(n)=

If I_(n)=int_(0)^(1)x^(n)e^(-x)dx for n in N, then I_(7)-I_(6)=

Let I_(n) = int_(0)^(1)(1-x^(3))^(n)dx, (nin N) then

If I_(n)=int_(0)^(1)(dx)/((1+x^(2))^(n));n in N, then prove that 2nI_(n+1)=2^(-n)+(2n-1)I_(n)

If = int_(0)^(1) x^(n)e^(-x)dx "for" n in N "then" I_(n)-nI_(n-1)=

If l_(n)=int_(0)^(pi//4) tan^(n)x dx, n in N "then" I_(n+2)+I_(n) equals

If I_(n)=int_(0)^(1)(dx)/((1+x^(2))^(n)), where n in N, which of the following statements hold good? 2nI_(n+1)=2^(-n)+(2n-1)I_(n)I_(2)=(pi)/(8)+(1)/(4)(c)I_(2)=(pi)/(8)-(1)/(4)I_(3)=(3 pi)/(32)+(1)/(4)

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

If I_(n)=int(sin nx)/(sin x)dx, for n>1, then the value of I_(n)-I_(n-2) is

if I_(m,n)=int(x^(m))/((log x)^(n))dx, then (m+1)I_(m,n)-nI_(m,n+1) is