Integrals Which Can't Be Found

Q.

If $\sin \left(A\right)=\frac{1}{3}$ and $A+B=90°$ then find $\cos \left(B\right)$?

Q.

$\sin h^{-1}\left(\frac{1}{2}\right)=?$

1. $\tan h^{-1}\left(\sqrt{5}\right)$

2. $\tan h^{-1}\left(\frac{1}{\sqrt{5}}\right)$

3. $\tan h^{-1}\left(\sqrt{3}\right)$

4. $\tan h^{-1}\left(\frac{2}{\sqrt{5}}\right)$

Q. $\int e^{x}cos\left(x\right)dx$

1. $\frac{e^x\left(cos\right(x)+sin(x\left)\right)}{2}$
2. $\frac{e^x\left(cos\right(x)-sin(x\left)\right)}{2}$
3. $\frac{e^x(-cos(x)+sin(x\left)\right)}{2}$
4. $\frac{e^x\left(sin\right(x\left)\right)}{2}$