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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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The integral of a function times a constant ($2$) is equal to the constant times the integral of the function
Learn how to solve integrals of rational functions problems step by step online.
$2\int\frac{1}{1+5x}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(2/(5x+1))dx. The integral of a function times a constant (2) 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=5, b=1 and n=1. Multiply the fraction and term in 2\cdot \left(\frac{1}{5}\right)\ln\left|5x+1\right|. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.
