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$_1^2\int\frac{3x^2+3x-12}{11x^2-6x}dx$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((_1^2(3x^2+3x+-12))/(6x^2+5x^2-6x))dx. Simplify the expression inside the integral. Divide 3x^2+3x-12 by 11x^2-6x. Resulting polynomial. Expand the integral \int\left(\frac{3}{11}+\frac{\frac{51}{11}x-12}{11x^2-6x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.