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Popular >

integral of 2y^4

Solution

\int 2 y^{4} d y

Solution

\frac{2 y ^{5}}{5} + C

Solution steps

\int 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 y^{4} d y

Apply the Power Rule

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

= 2 \cdot \frac{y ^{5}}{5}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 y ^{5}}{5}

Add a constant to the solution

= \frac{2 y ^{5}}{5} + C

Popular Examples

integral of 1/((3x+5)^2)

\int \frac{1}{( 3 x + 5 ) ^{2}} d x

integral of (x+4)/(x^2)

\int \frac{x + 4}{x ^{2}} d x

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\int \frac{1}{x ( ln ( x ) ) ln ( ln ( x ) )} d x

integral of (6x)/(3x^2-10)

\int \frac{6 x}{3 x ^{2} - 10} d x

integral of 1/(1+cos(x)+sin^2(x/2))

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

Frequently Asked Questions (FAQ)

What is the integral of 2y^4 ?
The integral of 2y^4 is (2y^5)/5+C