Final answer to the problem
$-\frac{37}{209}$
Got another answer? Verify it here!
Step-by-step Solution
Specify the solving method
1
Combining like terms $6x^2$ and $5x^2$
$\int_{1}^{2}\frac{3x^2+3x-12}{11x^2-6x}dx$
Learn how to solve problems step by step online.
$\int_{1}^{2}\frac{3x^2+3x-12}{11x^2-6x}dx$
Learn how to solve 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.
Final answer to the problem
$-\frac{37}{209}$