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Popular >

integral of 8y^3

Solution

\int 8 y^{3} d y

Solution

2 y^{4} + C

Solution steps

\int 8 y^{3} d y

Take the constant out:

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

= 8 \cdot \int y^{3} d y

Apply the Power Rule

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

= 8 \cdot \frac{y ^{4}}{4}

Simplify

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

= 2 y^{4}

Add a constant to the solution

= 2 y^{4} + C

Graph

Popular Examples

integral of (x^2)/(x^4-2x^2+1)

\int \frac{x ^{2}}{x ^{4} - 2 x ^{2} + 1} d x

integral of sqrt(-4y)

\int - 4 y d y

integral of 1/(e^{-x)-e^x}

\int \frac{1}{e ^{- x} - e ^{x}} d x

integral of c/(1+y^2)

\int \frac{c}{1 + y ^{2}} d y

integral of ln(x)*x^4

\int ln (x) \cdot x^{4} d x

Frequently Asked Questions (FAQ)

What is the integral of 8y^3 ?
The integral of 8y^3 is 2y^4+C