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Popular >

integral of-3x^2+100

Solution

\int - 3 x^{2} + 100 d x

Solution

- x^{3} + 100 x + C

Solution steps

\int - 3 x^{2} + 100 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 3 x^{2} d x + \int 100 d x

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

\int 100 d x = 100 x

= - x^{3} + 100 x

Add a constant to the solution

= - x^{3} + 100 x + C

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Frequently Asked Questions (FAQ)

What is the integral of-3x^2+100 ?
The integral of-3x^2+100 is -x^3+100x+C