If a is positive integer then the number...

If a is positive integer then the number of values of 'a' satisfying
`int_(0)^(pi//2) {a^(2)((cos3x)/(4)+(3)/(4)cosx)+a sin x-20cosx} dx le (a^(2))/(3)` are

A

1

B

2

C

3

D

6

Verified by Experts

The correct Answer is:

4

Similar Questions

Explore conceptually related problems

int_(0)^(pi//2)(cosx-sinx)e^(x)dx=

int_(0)^(pi//2)(5+4cosx)/((4+5cosx)^(2))dx=

int_(-pi//2)^(pi//2)(cosx)/(1-e^(x))dx=

int_(0)^(pi//4)(sinx+cosx)/(3+sin2x)dx=

int_(0)^(pi//2) ln ((4+3 Sin x)/(4+3 Cos x))dx=

int_(pi//4)^(3pi//4)(1)/(1+cosx)dx

int_(0)^(pi)(1)/(3+2sinx+cosx)dx=

Find the value of the integral int_(0)^(pi//2) sin^(4)x . cos^(4)x dx

The value of int_(0)^(pi//2)(1+2cosx)/((2+cosx)^(2))dx is