`int(e^(logx)+sinx)cosxdx`

int(e^(logx)+sinx).cos x dx=

int cosxdx

int-cosxdx

inte^(log_ex)cosxdx

int sin^9x cosxdx

int(sqrt(sinx))cosxdx=?

If u=(d)/(dx)(e^(sinx)),v=lim_(hrarr0) (e^(sin(x+h))-e^(sinx))/(h) and w=inte^(sinx)cosxdx, then

If l_(1)=(d)/(dx)(e^(sinx)) l_(2)lim_(hto0) (e^(sin(x+h))-e^(sinx))/(h) l_(3)=inte^(sinx)cosxdx then which one of the following is correct?

l_(1)=(d)/(dx)(e^(tanx)) l_(2)=lim_(h to 0)(e^(sin(x+h)-e^(sinx)))/(h) l_(3)=inte^(sinx)cosxdx , then which one of the following is correct ?

int e^x( cos x+sinx)dx