If a is a positive integer, then the number of values of a satisfying `int_0^(pi/2){a^2(cos3x/4+3/4cosx)+asinx-20cosx}dx<=a^2/3` is:

If k be positive integer , then the number of values of k satisfying int_0^(pi/2)[k^2(cos3x+1/2cosx)+sinx-2kcosx]dxlt=1 is

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

If k be positive integer,then the number of values of k satisfying int_(0)^((pi)/(2))[k^(2)(cos3x+(1)/(2)cos x)+sin x-2k cos x]dx<=1

int_0^(pi/2) (cos x)/(sinx + cosx) dx =

int_(0)^((pi)/2)(cos2x)/(cosx+sinx)dx=

int_(0)^((pi)/2)(cos2x)/(cosx+sinx)dx=

Evaluate int_0^(pi//2) (sinx+4cosx)/(sinx+cosx)dx

int_(0)^((pi)/2)(cos^(3)x)/(sinx+cosx)dx

int_(0)^((pi)/2)(cos^(3)x)/(sinx+cosx)dx