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Popular >

integral of 6x^2+2x

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

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\int 3 cos (5 θ) d θ

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Frequently Asked Questions (FAQ)

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