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Popular Calculus >

integral of 8y^2

Solution

\int 8 y^{2} d y

Solution

\frac{8 y ^{3}}{3} + C

Solution steps

\int 8 y^{2} d y

Take the constant out:

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

= 8 \cdot \int y^{2} d y

Apply the Power Rule

= 8 \cdot \frac{y ^{3}}{3}

Multiply fractions:

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

= \frac{8 y ^{3}}{3}

Add a constant to the solution

= \frac{8 y ^{3}}{3} + C

Graph

Popular Examples

integral of 12sqrt(x^5)

\int 12 x^{5} d x

integral of ((log_{3}(x)))/x

\int \frac{( lo g _{3} ( x ) )}{x} d x

integral of (2/7 (3^x))

\int (\frac{2}{7} (3^{x})) d x

integral of e^{tan(16x)}sec^2(16x)

\int e^{t a n (16 x)} sec^{2} (16 x) d x

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

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

Frequently Asked Questions (FAQ)

What is the integral of 8y^2 ?
The integral of 8y^2 is (8y^3)/3+C