What is the integral of (10x^4+12) ?

The integral of (10x^4+12) is 2x^5+12x+C

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integral of (10x^4+12)

\int (10 x^{4} + 12) d x

2 x^{5} + 12 x + C

Solution steps

\int 10 x^{4} + 12 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 10 x^{4} d x + \int 12 d x

\int 10 x^{4} d x = 2 x^{5}

\int 12 d x = 12 x

= 2 x^{5} + 12 x

Add a constant to the solution

= 2 x^{5} + 12 x + C

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