Final Answer
Step-by-step Solution
Specify the solving method
We could not solve this problem by using the method: Integrate by substitution
Simplifying
Learn how to solve differential calculus problems step by step online.
$\int\frac{\sqrt{y^{7}}-\sqrt[3]{y^{5}}-\sqrt[4]{y}}{y^2}dy$
Learn how to solve differential calculus problems step by step online. Find the integral int((y^(7/2)-y^(5/3)-y^1/4)/(y^2))dy. Simplifying. Expand the fraction \frac{\sqrt{y^{7}}-\sqrt[3]{y^{5}}-\sqrt[4]{y}}{y^2} into 3 simpler fractions with common denominator y^2. Simplify the resulting fractions. Expand the integral \int\left(\sqrt{y^{3}}+\frac{-1}{\sqrt[3]{y}}+\frac{-1}{\sqrt[4]{y^{7}}}\right)dy into 3 integrals using the sum rule for integrals, to then solve each integral separately.