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Popular Calculus >

integral of sqrt(x^6)

Solution

\int x^{6} d x

Solution

\frac{x ^{4}}{4} + C

Solution steps

\int x^{6} d x

x^{6} = x^{3},

assuming

x \geq 0

= \int x^{3} d x

Apply the Power Rule

= \frac{x ^{4}}{4}

Add a constant to the solution

= \frac{x ^{4}}{4} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of sqrt(x^6) ?
The integral of sqrt(x^6) is (x^4)/4+C