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Popular Calculus >

integral of (-gt+V)

Solution

\int (- g t + V) d t

Solution

V t - \frac{g t ^{2}}{2} + C

Solution steps

\int - g t + V d t

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int V d t - \int g t d t

\int V d t = V t

\int g t d t = \frac{g t ^{2}}{2}

= V t - \frac{g t ^{2}}{2}

Add a constant to the solution

= V t - \frac{g t ^{2}}{2} + C

Graph

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(\partial)/(\partial x)(x^7yz^2+7yz)

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Frequently Asked Questions (FAQ)

What is the integral of (-gt+V) ?
The integral of (-gt+V) is Vt-(gt^2)/2+C