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Popular >

integral of (x^6+1)

Solution

\int (x^{6} + 1) d x

Solution

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

Solution steps

\int x^{6} + 1 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int x^{6} d x + \int 1 d x

\int x^{6} d x = \frac{x ^{7}}{7}

\int 1 d x = x

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

Add a constant to the solution

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

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Frequently Asked Questions (FAQ)

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