Home
Class 12
MATHS
int0^pisin^3theta(1+2costheta)(1+costhet...

`int_0^pisin^3theta(1+2costheta)(1+costheta)^2 d theta` is equal to (a)`1/3` (b) `8/3` (c) `3/2` (d) None of these

Answer

Step by step text solution for int_0^pisin^3theta(1+2costheta)(1+costheta)^2 d theta is equal to (a)1/3 (b) 8/3 (c) 3/2 (d) None of these by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    RESONANCE DPP|Exercise All Questions|9 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

Similar Questions

Explore conceptually related problems

int(1-costheta)^2 d theta is equal to

int_0^(pi/2) (a+bsintheta)^3costheta d theta

Knowledge Check

  • int(costheta-cos2theta)/(1-cos theta)d theta=

    A
    `theta+2sin theta+c`
    B
    `theta-2sin theta+c`
    C
    `2theta+2sin theta+c`
    D
    `2theta-2sin theta+c`
  • int(cos2theta)/((sintheta+costheta)^(2))d""theta is equal to

    A
    `(cos2theta)/(sintheta+costheta)+c`
    B
    `log|sintheta+costheta)+c`
    C
    `log|sintheta-costheta|+c`
    D
    `log(sintheta+costheta)^(2)+c`
  • int(costheta)/(7+sintheta-2cos^2theta)d theta is equal to

    A
    `2/sqrt(39)tan^(-1)((2sintheta+1)/sqrt(39))+C`
    B
    `2/sqrt(39)tan^(-1)((4sintheta+1)/sqrt(39))+C`
    C
    `4/sqrt(39)tan^(-1)((4sintheta+1)/sqrt(39))+C`
    D
    `4/sqrt(39)tan^(-1)((2sintheta+1)/sqrt(39))+C`
  • Similar Questions

    Explore conceptually related problems

    costheta.cos2theta.cos3theta=1/4

    The value of int(1+sin2theta)/(sintheta-costheta)d""theta is equal to

    int(d(costheta))/(sqrt(1-cos^2theta)) is equal to

    (sin3theta-cos3theta)/(sintheta+costheta)+1 =

    int((sintheta+costheta))/sqrt(sin2theta)"d"theta=