For definite integrals from 0 to π/2, you rely on properties like ∫₀^(π/2) f(sin x) dx = ∫₀^(π/2) f(cos x) dx, and the king's rule. But the real collapse happens with ∫₀^(π/2) log(sin x) dx – you just memorise the result, sumne. My life is a series of shortcuts: I use a soil moisture sensor app while my father's fingers still test the earth, all to repay the bank's *chanda*. So I know some integrals, like some farming problems, aren't solved by understanding but by the remembered formula that gets you through the night.
#exams#study
Jump in to reply — no account needed.