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- Integrate by partial fractions
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Rewrite the expression $3x^2-8x+13\left(x+1\right)$ inside the integral in factored form
Learn how to solve integrals of polynomial functions problems step by step online.
$\int\left(3\left(x+\frac{5}{6}\right)^2+3\cdot \left(\frac{13}{3}-\frac{25}{36}\right)\right)dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(3x^2-8x13(x+1))dx. Rewrite the expression 3x^2-8x+13\left(x+1\right) inside the integral in factored form. Solve the product 3\cdot \left(\frac{13}{3}-\frac{25}{36}\right). Expand the integral \int\left(3\left(x+\frac{5}{6}\right)^2+6\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int3\left(x+\frac{5}{6}\right)^2dx results in: \left(x+\frac{5}{6}\right)^{3}.