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Popular >

integral of-5t

Solution

\int - 5 t d t

Solution

- \frac{5 t ^{2}}{2} + C

Solution steps

\int - 5 t d t

Take the constant out:

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

= - 5 \cdot \int t d t

Apply the Power Rule

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

= - 5 \cdot \frac{t ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{5 t ^{2}}{2}

Add a constant to the solution

= - \frac{5 t ^{2}}{2} + C

Popular Examples

derivative of (1-2x/(3+x))

\frac{d}{d x} (\frac{1 - 2 x}{3 + x})

derivative of cos(sqrt(x^5))

\frac{d}{d x} (cos (x^{5}))

integral of e^{x-e^x}

\int e^{x - e^{x}} d x

limit as x approaches 3 of x^2+2x

x \to 3 lim (x^{2} + 2 x)

integral of (r^2-10r+4)/(r^3)

\int \frac{r ^{2} - 10 r + 4}{r ^{3}} d r

Frequently Asked Questions (FAQ)

What is the integral of-5t ?
The integral of-5t is -(5t^2)/2+C