Evaluate (a) \(\int_{0}^{\frac{\pi}{4}} \frac{dx}{1 - \sin x}\) (b) \(\int x^2 \sin x \, dx\) (c) Solve the differential equation \(\frac{dy}{dx} -…
BIT Basic Mathematics · 2080 · Solved Question with Answer
Evaluate
(a) \(\int_{0}^{\frac{\pi}{4}} \frac{dx}{1 - \sin x}\)
(b) \(\int x^2 \sin x \, dx\)
(c) Solve the differential equation \(\frac{dy}{dx} - \frac{3}{x} y = x, \quad x > 0\).