Techniques of Integration - Integration Using Partial Fractions

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

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