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Popular >

integral of 2/(y^4)

Solution

\int \frac{2}{y ^{4}} d y

Solution

- \frac{2}{3 y ^{3}} + C

Solution steps

\int \frac{2}{y ^{4}} d y

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int \frac{1}{y ^{4}} d y

Apply the Power Rule

: - \frac{1}{3 y ^{3}}

= 2 (- \frac{1}{3 y ^{3}})

Simplify

2 (- \frac{1}{3 y ^{3}}) : - \frac{2}{3 y ^{3}}

= - \frac{2}{3 y ^{3}}

Add a constant to the solution

= - \frac{2}{3 y ^{3}} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 2/(y^4) ?
The integral of 2/(y^4) is -2/(3y^3)+C