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Popular Calculus >

integral of (2t)

Solution

\int (2 t) d t

Solution

t^{2} + C

Solution steps

\int 2 t d t

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int t d t

Apply the Power Rule

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

Simplify

2 \cdot \frac{t ^{2}}{2} : t^{2}

= t^{2}

Add a constant to the solution

= t^{2} + C

Graph

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Frequently Asked Questions (FAQ)

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