en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of-2/(t^3)

Solution

\int - \frac{2}{t ^{3}} d t

Solution

\frac{1}{t ^{2}} + C

Solution steps

\int - \frac{2}{t ^{3}} d t

Take the constant out:

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

= - 2 \cdot \int \frac{1}{t ^{3}} d t

Apply the Power Rule

= - 2 (- \frac{1}{2 t ^{2}})

Simplify

- 2 (- \frac{1}{2 t ^{2}}) : \frac{1}{t ^{2}}

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

Add a constant to the solution

= \frac{1}{t ^{2}} + C

Graph

Popular Examples

integral of 2x+sec^2(x)

\int 2 x + sec^{2} (x) d x

integral of 1/(x^{6/7)(3+x^{1/7})}

\int \frac{1}{x ^{\frac{6}{7}} ( 3 + x ^{\frac{1}{7}} )} d x

integral of x(1.2)^x

\int x (1.2)^{x} d x

integral of (7x^2-4x+2)/(x(x-4)^2)

\int \frac{7 x ^{2} - 4 x + 2}{x ( x - 4 ) ^{2}} d x

integral of (-x^2+8)/(x^3+4x)

\int \frac{- x ^{2} + 8}{x ^{3} + 4 x} d x

Frequently Asked Questions (FAQ)

What is the integral of-2/(t^3) ?
The integral of-2/(t^3) is 1/(t^2)+C