<p>Find</p>
<ol class="abc-list"><li><div class="list-item-paragraph">\(\displaystyle \displaystyle\int \cos^{2}  3x \, \mathrm{d}x \);</div></li><li><div class="list-item-paragraph">\(\displaystyle \displaystyle\int \tan^{2} \frac{x}{2} \, \mathrm{d}x\);</div></li><li><div class="list-item-paragraph">\( \displaystyle \displaystyle\int \sin^4 x \, \mathrm{d}x\).</div></li></ol>

\\[\\displaystyle \displaystyle\int \\cos^{\\(2\\)} \\(3\\)x \\, \\mathrm{d}x\\]

\(\displaystyle \displaystyle \displaystyle\int \cos^{2}  3x \, \mathrm{d}x \);

\\[\\displaystyle \displaystyle\int \\tan^{\\(2\\)} \\frac{x}{\\(2\\)} \\, \\mathrm{d}x\\]

\(\displaystyle \displaystyle \displaystyle\int \tan^{2} \frac{x}{2} \, \mathrm{d}x\);

\( \displaystyle \displaystyle \displaystyle\int \sin^4 x \, \mathrm{d}x\).

Other Techniques of Integrating Trigonometric Functions

Techniques of  Integration

International Baccalaureate Higher Level Mathematics

Indefinite integrals of even powers of sines, cosines and tangents

Indefinite integrals of even powers of sines, cosines and tangents