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Popular >

integral of-t/2

Solution

\int - \frac{t}{2} d t

Solution

- \frac{t ^{2}}{4} + C

Solution steps

\int - \frac{t}{2} d t

Take the constant out:

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

= - \frac{1}{2} \cdot \int t d t

Apply the Power Rule

= - \frac{1}{2} \cdot \frac{t ^{2}}{2}

Simplify

- \frac{1}{2} \cdot \frac{t ^{2}}{2} : - \frac{t ^{2}}{4}

= - \frac{t ^{2}}{4}

Add a constant to the solution

= - \frac{t ^{2}}{4} + C

Graph

Popular Examples

(dy)/(dx)=6+sqrt(y-6x+4)

\frac{d y}{d x} = 6 + y - 6 x + 4

integral from 0 to 4 of-x^2+4x

\int_{0}^{4} - x^{2} + 4 x d x

derivative of arccos(5x^8)derivative of

arccos (5 x^{8})

derivative of (7x^2-1/x)

\frac{d}{d x} (\frac{7 x ^{2} - 1}{x})

y^{''}+4y=0,y(0)=1,y^'(0)=4

y^{^{''}} + 4 y = 0, y (0) = 1, y^{^{'}} (0) = 4

Frequently Asked Questions (FAQ)

What is the integral of-t/2 ?
The integral of-t/2 is -(t^2)/4+C