Integration by parts: logarithms, powers and a returning integral

Find the following integrals:

(a) $\displaystyle\int x^2\ln x\,dx$

(b) $\displaystyle\int \ln(x^2+1)\,dx$

(c) $\displaystyle\int x\tan^{-1}(x^2)\,dx$

(d) $\displaystyle\int x^2e^x\,dx$

(e) $\displaystyle\int e^x\cos x\,dx$

(f) $\displaystyle\int \theta\sin\theta\cos\theta\,d\theta$.