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Popular >

integral of u^2+1

Solution

\int u^{2} + 1 d u

Solution

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

Solution steps

\int u^{2} + 1 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 u^{2} d u + \int 1 d u

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

\int 1 d u = u

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

Add a constant to the solution

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

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Frequently Asked Questions (FAQ)

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