en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (-t)

Solution

\int (- t) d t

Solution

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

Solution steps

\int - t d t

Take the constant out:

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

= - \int t d t

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

integral of (\sqrt[3]{x^4})/3

integral of ((e^x))/((6-e^x)^2)

\int \frac{( e ^{x} )}{( 6 - e ^{x} ) ^{2}} d x

integral of sin^5(x/2)cos(x/2)

\int sin^{5} (\frac{x}{2}) cos (\frac{x}{2}) d x

integral of (1+e^x)/(x^2)

\int \frac{1 + e ^{x}}{x ^{2}} d x

integral of 2+x+ye^y

\int 2 + x + y e^{y} d y

Frequently Asked Questions (FAQ)

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