Final answer to the problem
$-\frac{21}{2}x^2+\ln\left|x\right|+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
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1
Expand the integral $\int\left(-21x+\frac{1}{x}\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
$\int-21xdx+\int\frac{1}{x}dx$
Learn how to solve integrals of polynomial functions problems step by step online.
$\int-21xdx+\int\frac{1}{x}dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(-21x+1/x)dx. Expand the integral \int\left(-21x+\frac{1}{x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int-21xdx results in: -\frac{21}{2}x^2. The integral \int\frac{1}{x}dx results in: \ln\left|x\right|. Gather the results of all integrals.
Final answer to the problem
$-\frac{21}{2}x^2+\ln\left|x\right|+C_0$
