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Exercise

$-\int\frac{1+x}{x}dx$

Step-by-step Solution

Learn how to solve integrals of polynomial functions problems step by step online. Find the integral -int((1+x)/x)dx. Expand the fraction \frac{1+x}{x} into 2 simpler fractions with common denominator x. Simplify the resulting fractions. Expand the integral \int\left(\frac{1}{x}+1\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral -\int\frac{1}{x}dx results in: -\ln\left(x\right).
Find the integral -int((1+x)/x)dx

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Final answer to the exercise

$-\ln\left|x\right|-x+C_0$

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  • Integrate by partial fractions
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  • Integrate using basic integrals
  • Product of Binomials with Common Term
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Main Topic: Integrals of Polynomial Functions

Integrals of polynomial functions.

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