Home
Class 12
MATHS
Reduction formulas can be used to comput...

Reduction formulas can be used to compute integrals of higher power of `sinx,cosx,tanx` etc.
`intsin^(5)xdx=-(1)/(5)sin^(4)xcosx+Asin^(2)xcosx-(8)/(15)cosx+C` then `A` equals

A

`-(2)/(15)`

B

`-(3)/(5)`

C

`-(4)/(15)`

D

`-(1)/(15)`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Assertion-Reason Type Questions|15 Videos
  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Integar Type Questions|8 Videos
  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Objective Type Questions (More than one answer)|32 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

Reduction formulas can be used to compute integrals of higher power of sinx,cosx,tanx etc. inttan^(6)xdx=(1)/(5)tan^(5)x+Atan^(3)x+tanx-x+C then

Reduction formulas can be used to compute integrals of higher power of sinx,cosx,tanx etc. intsec^(6)xdx=(1)/(5)tan^(5)x+Atan^(3)x+tanx+C then

int(5cosx-4sinx+1/cos^2x)dx

Solve the equation 5sin^(2)x-7sinx cosx+16cos^(2)x=4

If int(cosx-sinx)/(sqrt(8-sin2x))dx=sin^(-1)((sinx+cosx)/(a))+C then a =

If int(dx)/(5+4cosx)=ktan^(-1)(mtan""(x)/(2))+c , then

Evaluate: int(cosx)/(sin^2x+4sinx+5)dx

If int(sinx)/(sin(x-(pi)/(4)))dx=Af(x)+(1)/(sqrt2)log[|sinx-cosx|]+c, then

Solve the following integration int(sinx cosx -1)/( sin x^2)e^xdx

If f(x)= int_(0^(sinx) cos^(-1)t dt +int_(0)^(cosx) sin^(-1)t dt, 0 lt x lt (pi)/(2) then f(pi//4) is equal to