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Popular Calculus >

integral of 1+4x^2

Solution

integral

1 + 4 x^{2}

Solution

x + \frac{4 x ^{3}}{3} + C

Solution steps

\int 1 + 4 x^{2} 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 1 d x + \int 4 x^{2} d x

\int 1 d x = x

\int 4 x^{2} d x = \frac{4 x ^{3}}{3}

= x + \frac{4 x ^{3}}{3}

Add a constant to the solution

= x + \frac{4 x ^{3}}{3} + C

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the integral of 1+4x^2 ?
The integral of 1+4x^2 is x+(4x^3)/3+C