Let `f(x)=(2sin^2x-1)/(cosx)+cosx(2sinx+1)/(1+sinx) then inte^x(f(x)+f^(prime)(x))dx` where c is the constant of integration

The value of int((tan^(-1)(sinx+1))cosx)/((3+2sinx-cos^(2)x))dx is (where c is the constant of integration)

The value of int((tan^(-1)(sinx+1))cosx)/((3+2sinx-cos^(2)x))dx is (where c is the constant of integration)

If inte^(sinx)[(xcos^3x-sinx)/(cos^2x)]dx=e^(sinx)*f(x)+c , where c is constant of integration, then f(x)=

If f(x)sinx.cosxdx=(1)/(2(b^(2)-a^(2)))logf(x)+c , where c is the constant of integration, then f(x)=

If inte^(sinx)((xcos^(3)x-sinx)/(cos^(2)x))dx=e^(sinx)f(x)+c , where c is constant of integration, then f(x)=

If inte^(sinx)((xcos^(3)x-sinx)/(cos^(2)x))dx=e^(sinx)f(x)+c , where c is constant of integration, then f(x)=

If the integral I=inte^(sinx)(cosx.x^(2)+2x)dx=e^(f(x))g(x)+C (where, C is the constant of integration), then the number of solution(s) of f(x)=g(x) is/are

If intsqrt(1-cosx)f(x)dx=2/3(1-cosx)^(3//2)+c where c is constant of integration then f(x) equals:

If intsqrt(1-cosx)f(x)dx=2/3(1-cosx)^(3//2)+c where c is constant of integration then f(x) equals: