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Popular >

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

Popular Examples

integral of e^{9x}cos(5x)

\int e^{9 x} cos (5 x) d x

derivative of y=-x^3+2x derivative of

y = - x^{3} + 2 x

maclaurin sin(pi/6+x)maclaurin

sin (\frac{π}{6} + x)

derivative of 1-e^{-4x}

\frac{d}{d x} (1 - e^{- 4 x})

integral of 1^{1/2}

\int 1^{\frac{1}{2}}

Frequently Asked Questions (FAQ)

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