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Popular >

integral of 3y^4

Solution

\int 3 y^{4} d y

Solution

\frac{3 y ^{5}}{5} + C

Solution steps

\int 3 y^{4} d y

Take the constant out:

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

= 3 \cdot \int y^{4} d y

Apply the Power Rule

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

= 3 \cdot \frac{y ^{5}}{5}

Multiply fractions:

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

= \frac{3 y ^{5}}{5}

Add a constant to the solution

= \frac{3 y ^{5}}{5} + C

Popular Examples

(\partial)/(\partial x)(e^{-(x^2+y^2+2x)})

\frac{\partial}{\partial x} (e^{- (x^{2} + y^{2} + 2 x)})

integral from 2 to 4 of x^2e^{2x}

\int_{2}^{4} x^{2} e^{2 x} d x

implicit (e^{ex}-x^2y)=1 implicit derivative

(e^{e x} - x^{2} y) = 1

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

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

(x^{2} + 5) y^{^{'}} = x y

Frequently Asked Questions (FAQ)

What is the integral of 3y^4 ?
The integral of 3y^4 is (3y^5)/5+C