Integrate the following expressions with respect to $x$. \({\displaystyle\displaystyle\int \cos^{2

Question

Integrate the following expressions with respect to $x$. ${\displaystyle\displaystyle\int \cos^{2} 6x + \tan^{2} 3x \ \mathrm{d}x}$ ${\displaystyle\displaystyle\int \cos^{2} 7x - \sin^{2} 7x \ \mathrm{d}x}$ ${\displaystyle\displaystyle\int \frac{\sin^{2} 5x + 8}{\cos^{2} 5x} \mathrm{d}x}$

Accepted Answer

(a) $-\dfrac{x}{2}+\dfrac1{24}\sin12x+\dfrac13\tan3x+C$; (b) $\dfrac1{14}\sin14x+C$; (c) $\dfrac95\tan5x-x+C$

Techniques of Integration - Integrating Powers of Sine and Cosine

Techniques of Integration - Integrating Powers of Sine and Cosine

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