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Popular >

integral of (x^8+1)

Solution

\int (x^{8} + 1) d x

Solution

\frac{x ^{9}}{9} + x + C

Solution steps

\int x^{8} + 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^{8} d x + \int 1 d x

\int x^{8} d x = \frac{x ^{9}}{9}

\int 1 d x = x

= \frac{x ^{9}}{9} + x

Add a constant to the solution

= \frac{x ^{9}}{9} + x + C

Popular Examples

integral of 1/(sin^2(2x))

\int \frac{1}{sin ^{2} ( 2 x )} d x

integral from 0 to 1 of (x-4)/(x^2-5x+6)

\int_{0}^{1} \frac{x - 4}{x ^{2} - 5 x + 6} d x

integral of 2xz+y^2

\int 2 x z + y^{2} d x

integral from 2 to 4 of (x-4)^2+1

\int_{2}^{4} (x - 4)^{2} + 1 d x

derivative of 2cos^2(x-1)

\frac{d}{d x} (2 cos^{2} (x) - 1)

Frequently Asked Questions (FAQ)

What is the integral of (x^8+1) ?
The integral of (x^8+1) is (x^9)/9+x+C