Home
Class 12
MATHS
intxcos^(2)xdx=?...

`intxcos^(2)xdx=?`

A

`(x^(2))/(4)-(xsin2x)/(4)+(cos2x)/(8)+C`

B

`(x^(2))/(4)+(xsin2x)/(4)+(cos2x)/(8)+C`

C

`(x^(2))/(4)+(xsin2x)/(4)-(cos2x)/(8)+C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`I=intx*(1)/(2)(1+cos2x)dx=(1)/(2)intxdx+(1)/(2)intunderset(I)(x)underset(II)(cos2x)dx`
Promotional Banner

Topper's Solved these Questions

  • METHODS OF INTEGRATION

    RS AGGARWAL|Exercise Exercise 13C|87 Videos

  • MATRICES

    RS AGGARWAL|Exercise Exercise 5F|21 Videos

  • PROBABILITY

    RS AGGARWAL|Exercise Exercise 29 B|2 Videos

Similar Questions

Explore conceptually related problems

intxcot^(2)xdx=?

int xcos^(2)xdx=

int cos^(2)xdx

int cos^(2)xdx

intxsec^(2)xdx=?

int x cos^(2)xdx

int cot^(2)xdx

intsinx cos^(2)xdx=?

int cosec^(2)xdx

intsin^(2)4xdx=