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Popular >

integral of 1/6 x^6

Solution

\int \frac{1}{6} x^{6} d x

Solution

\frac{x ^{7}}{42} + C

Solution steps

\int \frac{1}{6} x^{6} d x

Take the constant out:

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

= \frac{1}{6} \cdot \int x^{6} d x

Apply the Power Rule

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

= \frac{1}{6} \cdot \frac{x ^{7}}{7}

Simplify

\frac{1}{6} \cdot \frac{x ^{7}}{7} : \frac{x ^{7}}{42}

= \frac{x ^{7}}{42}

Add a constant to the solution

= \frac{x ^{7}}{42} + C

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\int \frac{4 x ^{3} + 11}{( x ^{2} + 2 ) ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 1/6 x^6 ?
The integral of 1/6 x^6 is (x^7)/(42)+C