Question

Provide all necessary steps and evaluate the following integrals:

(a) ∫ (𝑥^2√(2 + 𝑥)) 𝑑𝑥

(b)∫ (2^𝑡/(2^𝑡 + 3)) 𝑑𝑡

(c) ∫ 𝑑𝑡/(cos^2(𝑡 √1 + tan 𝑡))