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- Integrate by partial fractions
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Expand the integral $\int\left(5x^5+\frac{-2}{3x}-3e^{-5x}+\frac{1}{\sqrt{x}}+5\cos\left(2x\right)\right)dx$ into $5$ integrals using the sum rule for integrals, to then solve each integral separately
Learn how to solve integrals of exponential functions problems step by step online.
$\int5x^5dx+\int\frac{-2}{3x}dx+\int-3e^{-5x}dx+\int\frac{1}{\sqrt{x}}dx+\int5\cos\left(2x\right)dx$
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int(5x^5+-2/(3x)-3e^(-5x)1/(x^(1/2))5cos(2x))dx. Expand the integral \int\left(5x^5+\frac{-2}{3x}-3e^{-5x}+\frac{1}{\sqrt{x}}+5\cos\left(2x\right)\right)dx into 5 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int5x^5dx results in: \frac{5}{6}x^{6}. The integral \int\frac{-2}{3x}dx results in: -\frac{2}{3}\ln\left(x\right). The integral \int-3e^{-5x}dx results in: \frac{3}{5}e^{-5x}.
