Final answer to the problem
$\frac{1}{2}\ln\left|\frac{7}{25}\left(2.236068x\right)^2+\frac{7}{5}\right|+C_0$
Got another answer? Verify it here!
Step-by-step Solution
How should I solve this problem?
- Choose an option
- 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
- Load more...
Can't find a method? Tell us so we can add it.
1
Take out the constant $5$ from the integral
Learn how to solve problems step by step online.
$5\int\frac{x}{5x^2+7}dx$
Learn how to solve problems step by step online. Find the integral int((5x)/(5x^2+7))dx. Take out the constant 5 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 5\int\frac{x}{5\left(x^2+\frac{7}{5}\right)}dx by applying integration method of trigonometric substitution using the substitution.
Final answer to the problem
$\frac{1}{2}\ln\left|\frac{7}{25}\left(2.236068x\right)^2+\frac{7}{5}\right|+C_0$
