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Popular >

integral of 9y^2

Solution

\int 9 y^{2} d y

Solution

3 y^{3} + C

Solution steps

\int 9 y^{2} d y

Take the constant out:

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

= 9 \cdot \int y^{2} d y

Apply the Power Rule

: \frac{y ^{3}}{3}

= 9 \cdot \frac{y ^{3}}{3}

Simplify

9 \cdot \frac{y ^{3}}{3} : 3 y^{3}

= 3 y^{3}

Add a constant to the solution

= 3 y^{3} + C

Popular Examples

integral from 0 to 5 of 1/(sqrt(25+t^2))

\int_{0}^{5} \frac{1}{25 + t ^{2}} d t

tangent of y=sin(x)cos(x)tangent of

y = sin (x) cos (x)

integral of 1/x+x

\int \frac{1}{x} + x d x

y^{^{'}} - 6 y = 0

(\partial)/(\partial x)(x^{0.2}*y^{0.8})

\frac{\partial}{\partial x} (x^{0.2} \cdot y^{0.8})

Frequently Asked Questions (FAQ)

What is the integral of 9y^2 ?
The integral of 9y^2 is 3y^3+C