en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 2t^{-6}

Solution

\int 2 t^{- 6} d t

Solution

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

Solution steps

\int 2 t^{- 6} d t

Take the constant out:

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

= 2 \cdot \int t^{- 6} d t

Apply the Power Rule

: - \frac{1}{5 t ^{5}}

= 2 (- \frac{1}{5 t ^{5}})

Simplify

2 (- \frac{1}{5 t ^{5}}) : - \frac{2}{5 t ^{5}}

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (4x)/(1-x^2)

\int \frac{4 x}{1 - x ^{2}} d x

integral of cos(1+2x)

\int cos (1 + 2 x) d x

integral of (x^4)/((x-1)^3)

\int \frac{x ^{4}}{( x - 1 ) ^{3}} d x

integral of ((3x+1))/(x^3-4x^2+x+6)

\int \frac{( 3 x + 1 )}{x ^{3} - 4 x ^{2} + x + 6} d x

integral of x^2ln(x-1)

\int x^{2} ln (x - 1) d x

Frequently Asked Questions (FAQ)

What is the integral of 2t^{-6} ?
The integral of 2t^{-6} is -2/(5t^5)+C