Final answer to the problem
$\frac{5}{-6\sqrt[5]{y^{6}}}+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
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- Weierstrass Substitution
- Integrate using trigonometric identities
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- Product of Binomials with Common Term
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1
Rewrite the exponent using the power rule $\frac{a^m}{a^n}=a^{m-n}$, where in this case $m=0$
$\int y^{- \frac{11}{5}}dy$
Learn how to solve integrals of rational functions problems step by step online.
$\int y^{- \frac{11}{5}}dy$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(1/(y^(11/5)))dy. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. Multiply the fraction and term in - \frac{11}{5}. 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 -\frac{11}{5}. Simplify the expression.
Final answer to the problem
$\frac{5}{-6\sqrt[5]{y^{6}}}+C_0$
