Final answer to the problem
$\frac{1}{5}\ln\left|\frac{8}{25}\left(2.236068x\right)^2+\frac{8}{5}\right|+C_0$
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Step-by-step Solution
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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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1
Take out the constant $2$ from the integral
Learn how to solve integral calculus problems step by step online.
$2\int\frac{x}{5x^2+8}dx$
Learn how to solve integral calculus problems step by step online. Find the integral int((2x)/(5x^2+8))dx. Take out the constant 2 from the integral. First, factor the terms inside the radical by 5 for an easier handling. Taking the constant out of the radical. We can solve the integral 2\int\frac{x}{5\left(x^2+\frac{8}{5}\right)}dx by applying integration method of trigonometric substitution using the substitution.
Final answer to the problem
$\frac{1}{5}\ln\left|\frac{8}{25}\left(2.236068x\right)^2+\frac{8}{5}\right|+C_0$
