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- Integrate by partial fractions
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- Weierstrass Substitution
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- Product of Binomials with Common Term
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Since the upper limit of the integral is less than the lower one, we can rewrite the limits by applying the inverse property of integration limits: If we invert the limits of an integral, it changes sign: $\int_a^bf(x)dx=-\int_b^af(x)dx$
Learn how to solve simplification of algebraic fractions problems step by step online.
$-\int_{4}^{9}\frac{x^2}{x+1}dx$
Learn how to solve simplification of algebraic fractions problems step by step online. Integrate the function (x^2)/(x+1) from 9 to 4. Since the upper limit of the integral is less than the lower one, we can rewrite the limits by applying the inverse property of integration limits: If we invert the limits of an integral, it changes sign: \int_a^bf(x)dx=-\int_b^af(x)dx. Divide x^2 by x+1. Resulting polynomial. Expand the integral \int\left(x-1+\frac{1}{x+1}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately.
