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Combining like terms $6x^2$ and $5x^2$
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$\int_{1}^{2}\frac{3x^2+3x-12}{11x^2-6x}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function (3x^2+3x+-12)/(6x^2+5x^2-6x) from 1 to 2. Combining like terms 6x^2 and 5x^2. Divide 3x^2+3x-12 by 11x^2-6x. Resulting polynomial. Expand the integral \int_{1}^{2}\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.