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Popular >

integral of 1-u^2

Solution

\int 1 - u^{2} d u

Solution

u - \frac{u ^{3}}{3} + C

Solution steps

\int 1 - u^{2} d u

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 u - \int u^{2} d u

\int 1 d u = u

\int u^{2} d u = \frac{u ^{3}}{3}

= u - \frac{u ^{3}}{3}

Add a constant to the solution

= u - \frac{u ^{3}}{3} + C

Graph

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Frequently Asked Questions (FAQ)

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