After studying complete integration i am still confused how to begin with a question.

$\mathrm{Make} a \mathrm{list} \mathrm{of} \mathrm{all} \mathrm{the} \mathrm{types} \mathrm{and} \mathrm{forms} \mathrm{that} \mathrm{you} \mathrm{have} \mathrm{studied}.$$\mathrm{Like} \frac{1}{{\mathrm{ax}}^2+\mathrm{bx} +c};\frac{1}{\sqrt{{\mathrm{ax}}^2+\mathrm{bx} +c}}; \frac{1}{\mathrm{acosx}+\mathrm{bsinx}+c}$$\mathrm{substitution} ;\mathrm{by} \mathrm{parts} \mathrm{and} \mathrm{others}.$$\mathrm{After} \mathrm{you} \mathrm{read} \mathrm{the} \mathrm{problem}, \mathrm{see} \mathrm{into} \mathrm{which} \mathrm{category} \mathrm{it} \mathrm{falls}.$$\mathrm{While} \mathrm{solving} \mathrm{problems} \mathrm{at} \mathrm{home}, \mathrm{keep} \mathrm{the} \mathrm{list} \mathrm{of} \mathrm{types} \mathrm{and} \mathrm{standard} \mathrm{forms} \mathrm{in} \mathrm{front} \mathrm{of} \mathrm{you} \mathrm{and} \mathrm{try} \mathrm{to} \mathrm{identify} \mathrm{and} \mathrm{solve}.$$\mathrm{Eventually} \mathrm{you} \mathrm{will} \mathrm{be} \mathrm{able} \mathrm{to} \mathrm{do} \mathrm{it} \mathrm{easily} \mathrm{even} \mathrm{without} \mathrm{referring} \mathrm{to} \mathrm{your} \mathrm{list}.$">