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Popular >

integral of x^6y^2

Solution

\int x^{6} y^{2}

Solution

\frac{y ^{2} x ^{7}}{7} + C

Solution steps

\int x^{6} y^{2} d x

Take the constant out:

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

= y^{2} \cdot \int x^{6} d x

Apply the Power Rule

: \frac{x ^{7}}{7}

= y^{2} \frac{x ^{7}}{7}

Multiply fractions:

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

= \frac{y ^{2} x ^{7}}{7}

Add a constant to the solution

= \frac{y ^{2} x ^{7}}{7} + C

Popular Examples

derivative of x^2+7x-4 derivative of

x^{2} + 7 x - 4

limit as x approaches-infinity of 6x^4

x \to - \infty lim (6 x^{4})

limit as x approaches infinity of-5/4

x \to \infty lim (- \frac{5}{4})

derivative of (\sqrt[3]{t})/(t-6)derivative of

taylor (1-x)^{1/4}taylor

(1 - x)^{\frac{1}{4}}

Frequently Asked Questions (FAQ)

What is the integral of x^6y^2 ?
The integral of x^6y^2 is (y^2x^7)/7+C