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Popular >

integral of (6x^5+10)

Solution

\int (6 x^{5} + 10) d x

Solution

x^{6} + 10 x + C

Solution steps

\int 6 x^{5} + 10 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 6 x^{5} d x + \int 10 d x

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

\int 10 d x = 10 x

= x^{6} + 10 x

Add a constant to the solution

= x^{6} + 10 x + C

Popular Examples

integral of sqrt(4x^2-16)

\int 4 x^{2} - 16 d x

integral of (3-x)^{10}

\int (3 - x)^{10} d x

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\int \frac{3 x + 1}{x ^{3} + 4 x} d x

integral of 3/(sqrt(4-9x^2))

\int \frac{3}{4 - 9 x ^{2}} d x

integral of xe^{-2/3 x^2-1}

\int x e^{- \frac{2}{3} x^{2} - 1} d x

Frequently Asked Questions (FAQ)

What is the integral of (6x^5+10) ?
The integral of (6x^5+10) is x^6+10x+C