If `intxsinx\ dx=-xcosx+alpha,` then `alpha` is equal to `sinx+C` (b) `cosx+C` (c) `C` (d) none of these

If int x sin xdx=-x cos x+alpha, then alpha is equal to sin x+C(b)cos x+C(c)C(d) none of these

If int(cosx-sinx)dx=sqrt(2)sin(x+alpha)+c, " then " alpha=

If int(sinx)/(cosx(1+cosx))dx=f(x)+C , then f(x) is equal to

In Delta ABC,c cos(A-alpha)+a cos(C+alpha) is equal to

int(xcosxlogx-sinx)/(x(logx)^2)dx is equal to (A) sinx+c (B) logxsinx+c (C) logx+sinx+c (D) none of these

intx^(sinx) ((sinx)/x+cosxdotlogx) dx is equal to (A) x^(sinx)+C (B) x^(sinx)cosx+C (C) ((x^(sinx))^2)/2+C (D) none of these

Let vec a,vec b,vec c be three unit vectors such that |vec a+vec b+vec c| and vec a perpvec b. If vec c makes angles alpha,beta with vec a,vec b respectively then cos alpha+cos beta is equal to (3)/(2)(b)1(c)-1(d) None of these

int(sinx+cosx)/(sin(x+alpha))dx=

If tanbeta=2sinalphasingammacos e c(alpha+gamma), then cotalpha,cotbeta,cotgamma are in (a)A.P. (b) G.P. (c) H.P. (d) none of these

The value of the integral intx/(1+xtanx)dx is equal to (A) log|xcosx+sinx|+c (B) log|cosx+x| (C) log|cosx+xsinx|+c (D) none of these