<ol class="abc-list"><li><div class="list-item-paragraph">Express $\frac{2+7x-34{{x}^{2}}}{(1-3x)(1-4{{x}^{2}})}$ in partial fractions.</div></li><li><div class="list-item-paragraph">Hence find $\displaystyle\int{\frac{2+7x-34{{x}^{2}}}{(1-3x)(1-4{{x}^{2}})}\ \mathrm{d}x}$.</div></li></ol>

Express $\frac{2+7x-34{{x}^{2}}}{(1-3x)(1-4{{x}^{2}})}$ in partial fractions.

Hence find $\displaystyle\displaystyle \displaystyle\int{\frac{2+7x-34{{x}^{2}}}{(1-3x)(1-4{{x}^{2}})}\ \mathrm{d}x}$.

Integration Techniques

Question 571f1091