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Popular >

integral of 2y^3

Solution

integral

2 y^{3}

Solution

\frac{y ^{4}}{2} + C

Solution steps

\int 2 y^{3} d y

Take the constant out:

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

= 2 \cdot \int y^{3} d y

Apply the Power Rule

: \frac{y ^{4}}{4}

= 2 \cdot \frac{y ^{4}}{4}

Simplify

2 \cdot \frac{y ^{4}}{4} : \frac{y ^{4}}{2}

= \frac{y ^{4}}{2}

Add a constant to the solution

= \frac{y ^{4}}{2} + C

Popular Examples

integral of (x^3-a^3)^5

\int (x^{3} - a^{3})^{5} d x

integral of-8cos(t)

\int - 8 cos (t) d t

integral of 3x^3-x

\int 3 x^{3} - x d x

integral of ((sqrt(x))/3+8/(sqrt(x)))

\int (\frac{x}{3} + \frac{8}{x}) d x

integral of (5x)/(x^2-25)

\int \frac{5 x}{x ^{2} - 25} d x

Frequently Asked Questions (FAQ)

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