Choose among inner derivatives, completed squares and parts

Find the following integrals:

(a) $\displaystyle\int\dfrac{e^{2x}}{e^{2x}-3}\,dx$2 marks

(b) $\displaystyle\int\dfrac{3x^2+2}{\sqrt{x^3+2x-8}}\,dx$2 marks

(c) $\displaystyle\int\dfrac1{x^2+2x+5}\,dx$2 marks

(d) $\displaystyle\int x^2\ln x\,dx$3 marks

(e) $\displaystyle\int x\sec(x^2)\tan(x^2)\,dx$2 marks