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Popular >

integral of 6x^2+5

Solution

\int 6 x^{2} + 5 d x

Solution

2 x^{3} + 5 x + C

Solution steps

\int 6 x^{2} + 5 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^{2} d x + \int 5 d x

\int 6 x^{2} d x = 2 x^{3}

\int 5 d x = 5 x

= 2 x^{3} + 5 x

Add a constant to the solution

= 2 x^{3} + 5 x + C

Popular Examples

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integral of (sec^2(x)-sec(x)tan(x))

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Frequently Asked Questions (FAQ)

What is the integral of 6x^2+5 ?
The integral of 6x^2+5 is 2x^3+5x+C