Home
Class 12
MATHS
If I(n)=int(sinx+cosx)^(n)dx, snd I(n)=1...

If `I_(n)=int(sinx+cosx)^(n)`dx, snd `I_(n)=1/n(sinx+cosx)^(n-1)(sinx-cosx)+(2k)/(n) I_(n-2)` then k=

A

(n+1)

B

`(n-1)`

C

`(2n+1)`

D

`(2n-1)`

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    RESONANCE|Exercise SINGLE AND DOUBLE VALUE INTEGER TYPE|15 Videos
  • INDEFINITE INTEGRATION

    RESONANCE|Exercise PART III: ONE OR MORE THAN ONE OPTIONS CORRECT TYPE|19 Videos
  • INDEFINITE INTEGRATION

    RESONANCE|Exercise Exercise-2 Part-12|1 Videos
  • GEOMETRY

    RESONANCE|Exercise Exercise-1 (Part-I: Previous Asked Question For Pre RMO)|50 Videos
  • MATRICES & DETERMINANT

    RESONANCE|Exercise HLP|33 Videos

Similar Questions

Explore conceptually related problems

If I_(n)=int(sinnx)/(cosx)dx, then I_(7)+I_(5)=

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

int(sinx+2cosx)/(2sinx+cosx)dx

int(sinx+2cosx)/(2sinx+cosx)dx

int 1/(sinx(1+2cosx)) dx

If I_(n)=int cos^(n)x dx . Prove that I_(n)=(1)/(n)(cos^(n-1)x sinx)+((n-1)/(n))I_(n-2) .

int(dx)/((sinx-2cosx)(2sinx+cosx))

int((sinx+cosx)dx)/sinx

int(cosx)/(sinx+cosx)dx=

int(sinx)/(sinx-cosx)dx=