Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- 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
- FOIL Method
- Load more...
Rewrite the expression $\frac{3}{5y^2+20}$ inside the integral in factored form
Learn how to solve integrals of exponential functions problems step by step online.
$\int\frac{3}{5\left(y^2+4\right)}dy$
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int(3/(5y^2+20))dy. Rewrite the expression \frac{3}{5y^2+20} inside the integral in factored form. Take the constant \frac{1}{5} out of the integral. The integral of a function times a constant (3) is equal to the constant times the integral of the function. Solve the integral by applying the formula \displaystyle\int\frac{x'}{x^2+a^2}dx=\frac{1}{a}\arctan\left(\frac{x}{a}\right).