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Popular >

integral of (5y^4)

Solution

\int (5 y^{4}) d y

Solution

y^{5} + C

Solution steps

\int 5 y^{4} d y

Take the constant out:

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

= 5 \cdot \int y^{4} d y

Apply the Power Rule

: \frac{y ^{5}}{5}

= 5 \cdot \frac{y ^{5}}{5}

Simplify

5 \cdot \frac{y ^{5}}{5} : y^{5}

= y^{5}

Add a constant to the solution

= y^{5} + C

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\int ((1 + \frac{1}{x})^{3} (\frac{1}{x ^{2}})) d x

Frequently Asked Questions (FAQ)

What is the integral of (5y^4) ?
The integral of (5y^4) is y^5+C