Integrate the following functions. ∫cos√x√xdx.
∫cos√x√xdx Let √x=t⇒12√x=dtdx⇒dx=2√xdt ∴∫cos√x√xdx=∫cost√x2√xdt=2∫cos tdt=2sin t+C=2sin√x+C
Integrate the following functions. ∫1x−√xdx.
Integrate the following functions. ∫(logx)2xdx.
Integrate the following functions. ∫1(1+cotx)dx.
Integrate the function. ∫xcos−1xdx.