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Popular >

integral of (x^5+1)

Solution

\int (x^{5} + 1) d x

Solution

\frac{x ^{6}}{6} + x + C

Solution steps

\int x^{5} + 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^{5} d x + \int 1 d x

\int x^{5} d x = \frac{x ^{6}}{6}

\int 1 d x = x

= \frac{x ^{6}}{6} + x

Add a constant to the solution

= \frac{x ^{6}}{6} + x + C

Popular Examples

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\frac{d}{d x} (x (x - 21)^{2})

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\frac{( e ^{- 2 s} )}{s + 1}

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\frac{d}{d x} (3 x - 2)

(\partial)/(\partial x)(2y-2)

\frac{\partial}{\partial x} (2 y - 2)

Frequently Asked Questions (FAQ)

What is the integral of (x^5+1) ?
The integral of (x^5+1) is (x^6)/6+x+C