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Popular >

integral of 12x^5y^2

Solution

\int 12 x^{5} y^{2} d x

Solution

2 y^{2} x^{6} + C

Solution steps

\int 12 x^{5} y^{2} d x

Take the constant out:

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

= 12 y^{2} \cdot \int x^{5} d x

Apply the Power Rule

: \frac{x ^{6}}{6}

= 12 y^{2} \frac{x ^{6}}{6}

Simplify

12 y^{2} \frac{x ^{6}}{6} : 2 y^{2} x^{6}

= 2 y^{2} x^{6}

Add a constant to the solution

= 2 y^{2} x^{6} + C

Graph

Popular Examples

integral of 1/(xsqrt(1-2x^2))

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

integral of+3x^5sqrt(x^3+1)

\int + 3 x^{5} x^{3} + 1 d x

integral of 1/(tan(x/5))

\int \frac{1}{tan ( \frac{x}{5} )} d x

integral of+1/(sqrt(12-4x-x^2))

\int + \frac{1}{12 - 4 x - x ^{2}} d x

integral of 3^{5x+1}

\int 3^{5 x + 1} d x

Frequently Asked Questions (FAQ)

What is the integral of 12x^5y^2 ?
The integral of 12x^5y^2 is 2y^2x^6+C