Home
Class 12
MATHS
int(-pi/4)^(pi/4)cos^2xdx...

`int_(-pi/4)^(pi/4)cos^2xdx`

Text Solution

Verified by Experts

`int_(-pi/4)^(pi/4)cos^2xdx=int_(-pi/4)^(pi/4)[(1+cosx)/2]dx`
=`1/2int_(-pi/4)^(pi/4)dx+1/2int_(-pi/4)^(pi/4)cos2xdx`
=`1/2[x]_(-pi/4)^(pi/4)+1/4[sin2x]_(-pi/4)^(pi/4)`
=`1/2(pi/4+pi/4)+1/4(sin(pi/4)+sin(pi/4))=pi/4+1/2`
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

Write the value of int_(-pi/4)^(pi/4)cos^4x.sin^99xdx

int_(-pi/6)^(pi/6)sin^5xdx

Evaluate the following integrals int_(pi/4)^(pi/2)cotxdx

int_(-pi/2)^(pi/2)sin^5xdx= ?

Write the value of int_(-pi//4)^(pi//4) sin^5 x cos x dx

Write the value of int_(-pi//4)^(pi//4)sin^(5)xcosxdx

Find int_(-pi//4)^(pi//4) sin^3 x dx