Integrate the following expressions with respect to $x$. \({\displaystyle\displaystyle\int \sin 5x

Question

Integrate the following expressions with respect to $x$. ${\displaystyle\displaystyle\int \sin 5x + 3 \sec^{2} 6x \ \mathrm{d}x}$ ${\displaystyle\displaystyle\int \cos^2 2x + \sin^2 4x \ \mathrm{d}x}$

Accepted Answer

(a) $-\frac15\cos5x+\frac12\tan6x+C$. (b) $x+\frac18\sin4x-\frac1{16}\sin8x+C$.

Techniques of Integration - Integrating Powers of Sine and Cosine

Techniques of Integration - Integrating Powers of Sine and Cosine

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