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Popular >

integral of 3x^2y^2

Solution

\int 3 x^{2} y^{2} d x

Solution

y^{2} x^{3} + C

Solution steps

\int 3 x^{2} y^{2} d x

Take the constant out:

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

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

Apply the Power Rule

: \frac{x ^{3}}{3}

= 3 y^{2} \frac{x ^{3}}{3}

Simplify

3 y^{2} \frac{x ^{3}}{3} : y^{2} x^{3}

= y^{2} x^{3}

Add a constant to the solution

= y^{2} x^{3} + C

Popular Examples

integral from 3 to 5 of (x^4-3/(x^3))

\int_{3}^{5} (x^{4} - \frac{3}{x ^{3}}) d x

2(ln(y))y^'-x^5y=0

2 (ln (y)) y^{^{'}} - x^{5} y = 0

derivative of y=cos(a^5+x^5)derivative of

y = cos (a^{5} + x^{5})

integral from 2 to 4 of 3/x

\int_{2}^{4} \frac{3}{x} d x

(\partial)/(\partial x)(2ysin(x)+e^{2z})

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

Frequently Asked Questions (FAQ)

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