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Popular Calculus >

integral of sqrt(t^2)

Solution

\int t^{2} d t

Solution

\frac{t ^{2}}{2} + C

Solution steps

\int t^{2} d t

t^{2} = (t),

assuming

t \geq 0

= \int t d t

Apply the Power Rule

= \frac{t ^{2}}{2}

Add a constant to the solution

= \frac{t ^{2}}{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of sqrt(t^2) ?
The integral of sqrt(t^2) is (t^2)/2+C