`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

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

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

int(cosx+sinx)/sqrt(sin2x)dx= (A) sin^-1(cosx+sinx) (B) sin^-1(sinx-cosx) (C) cos^-1(cosx+sinx) (D) none of these

Differentiate x^ sinx +(sinx)^ cosx w.r.t x.

The value int { ln(1+sinx)+xtan(pi/4-x/2)} dx is equal to (A) x ln(1+sinx)+C (B) ln(1+sinx)+C (C) -x ln(1+sinx)+C (D) ln(1-sinx)+C

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

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

int(sinx-cosx)^(4)(sinx+cosx)dx is equal to a) (sinx-cosx)/(5)+c b) ((sinx-cosx)^(5))/(5)+c c) ((sinx-cosx)^(4))/(4)+c d) ((sinx+cosx)^(5))/(5)+c

Differentiate x^(sinx)+(sinx)^(cosx) w.r.t x.

int(x+sinx)/(1+cosx)dx= (A) xtan(x/2)+c (B) log(1-cosx)+c (C) (tan(x/2))/2+c (D) none of these