Home
Class 12
MATHS
int0^(pi/4) xsinxdx...

`int_0^(pi/4) xsinxdx`

Text Solution

Verified by Experts

`int_0^(pi/4) xsinxdx`
[integrating by parts taking xas first and sinx as second function]
`[x-(-cosx)]_0^(pi/4)-int_0^(pi/4)(-cosx)dx`
`(-pi/4)cos(pi/4)+[sinx]_o^(pi/4)`
`(-pi/4)cos(pi/4)+sin(pi/4)-sin0=(1/sqrt2)(1-(pi/4))`
Promotional Banner

Topper's Solved these Questions

  • Elements of Mathematics

    MBD PUBLICATION|Exercise QUESTION BANK|48 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MBD PUBLICATION|Exercise QUESTION BANK|40 Videos

Similar Questions

Explore conceptually related problems

Evaluate, int_0^(pi//4)sinxdx

Evaluate int_0^(pi) sinxdx

int_0^(pi/2) (sin^2xdx)/(sinx+cosx)

Evaluate the following integrals int_0^(pi/4)sin2xcosxdx

Write the value of int_0^(pi//2) (sinx) dx - int_0^(-pi//2) (cos x) dx

Evaluate int_0^(-pi//2) sin x dx

Prove that int_0^(pi/2)lnsinxdx=pi/2ln( 1 /2)

int_0^picos^2xsinxdx