<ol class="abc-list"><li data-list-item-id="item-8a"><div class="list-item-paragraph">Evaluate \(\int_{2}^{10} \frac{5}{4x - 5} \; \mathrm{d}x\). Give your answer in exact form.<span class="inline-marks">[3]</span></div></li><li data-list-item-id="item-8b"><div class="list-item-paragraph">Evaluate \(\int_{1}^{2} \frac{e^{4x} + 4e^{2x} + 4}{e^{2x} + 2} \; \mathrm{d}x\). Give your answer in exact form.<br>Hint: You do not need to use substitution. You need to know factorisation.<span class="inline-marks">[4]</span></div></li><li data-list-item-id="item-8c"><div class="list-item-paragraph">Evaluate \(\int_{1}^{2} \cos^2 5x + \tan^2 3x \; \mathrm{d}x\).<span class="inline-marks">[5]</span></div></li></ol>

Evaluate \(\int_{2}^{10} \frac{5}{4x - 5} \; \mathrm{d}x\). Give your answer in exact form.

Evaluate \(\int_{1}^{2} \frac{e^{4x} + 4e^{2x} + 4}{e^{2x} + 2} \; \mathrm{d}x\). Give your answer in exact form.
Hint: You do not need to use substitution. You need to know factorisation.

Evaluate \(\int_{1}^{2} \cos^2 5x + \tan^2 3x \; \mathrm{d}x\).