Home
Class 12
MATHS
If I(n)=int(sinnx)/(sinx)dx, then I(5)-I...

If `I_(n)=int(sinnx)/(sinx)dx,` then `I_(5)-I_(3)=`

A

`-(sin4x)/(4)+c`

B

`sin4x+c`

C

`(sin4x)/(2)+c`

D

`-(sin4x)/(2)+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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 - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos
  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 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(sinnx)/(cosx)dx, then I_(7)+I_(5)=

If I_(n)=int(sin x)^(n)dx,n in N, then 5I_(4)-6I_(6) is equal to

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

If I_(n)=int(ln x)^(n)dx then I_(n)+nI_(n-1)

(i) int(sinx)/(cos^(5)x)dx

If I_(n)=int_(0)^( pi)e^(x)(sin x)^(n)dx, then (I_(3))/(I_(1)) is equal to

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

If I_(n)-int(lnx)^(n)dx, then I_(10)+10I_(9) is equal to (where C is the constant of integration)

Prove that I_(1),I_(2),I_(3)"..." form an AP, if (i) I_(n)=int_(0)^(pi)(sin2nx)/(sinx)dx (ii) I_(n)=int_(0)^(pi)((sinnx)/(sinx))^(2)dx .

IfI_(n)=int_(0)^( pi)e^(x)(sin x)^(n)dx,then(I_(3))/(I_(1)) is equal to (3)/(5)(b)(1)/(5)(c)1(d)(2)/(5)