Final answer to the problem
$-16\ln\left|3x+125\right|+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
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- Product of Binomials with Common Term
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1
Calculate the power $5^3$
Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{-48}{3x+125}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(-48/(3x+5^3))dx. Calculate the power 5^3. The integral of a function times a constant (-48) is equal to the constant times the integral of the function. Apply the formula: \int\frac{n}{ax+b}dx=\frac{n}{a}\ln\left(ax+b\right)+C, where a=3, b=125 and n=1. Multiply the fraction and term in -48\cdot \left(\frac{1}{3}\right)\ln\left|3x+125\right|.
Final answer to the problem
$-16\ln\left|3x+125\right|+C_0$
