A Level

MATHEMATICS · Multi-part · A Level · Mathematics · Integration · Integration

Problem

Evaluate: (i) ∫ex(1+sin⁡xcos⁡xcos⁡2x) dx\int e^x\left(\frac{1+\sin x\cos x}{\cos^2 x}\right)\,dx (ii) ∫e2x(1+sin⁡2x1+cos⁡2x) dx\int e^{2x}\left(\frac{1+\sin 2x}{1+\cos 2x}\right)\,dx

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