Final Answer
$-\frac{2}{3}x^{-12}+C_0$
Got another answer? Verify it here!
Step-by-step Solution
Problem to solve:
$\int\frac{8x^2}{\left(x^{\left(3+2\right)}\right)^3}dx$
Specify the solving method
1
Simplify the expression inside the integral
$\int\frac{8}{x^{13}}dx$
Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{8}{x^{13}}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((8x^2)/(x^(3+2)^3))dx. Simplify the expression inside the integral. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. The integral of a function times a constant (8) is equal to the constant times the integral of the function. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as -13.
Final Answer
$-\frac{2}{3}x^{-12}+C_0$