en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3t^{-7}

Solution

\int 3 t^{- 7} d t

Solution

- \frac{1}{2 t ^{6}} + C

Solution steps

\int 3 t^{- 7} d t

Take the constant out:

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

= 3 \cdot \int t^{- 7} d t

Apply the Power Rule

: - \frac{1}{6 t ^{6}}

= 3 (- \frac{1}{6 t ^{6}})

Simplify

3 (- \frac{1}{6 t ^{6}}) : - \frac{1}{2 t ^{6}}

= - \frac{1}{2 t ^{6}}

Add a constant to the solution

= - \frac{1}{2 t ^{6}} + C

Graph

Popular Examples

derivative of 4x^{5/4}+2x^{3/2}+3x derivative of

4 x^{\frac{5}{4}} + 2 x^{\frac{3}{2}} + 3 x

5y^{''}-6y^'+3y=2-3x^2

5 y^{^{''}} - 6 y^{^{'}} + 3 y = 2 - 3 x^{2}

tangent of f(x)=(3x)/(x^2-6),(3,3)tangent of

f (x) = \frac{3 x}{x ^{2} - 6}, (3, 3)

derivative of y=(x^5)/(5-x^4)derivative of

y = \frac{x ^{5}}{5 - x ^{4}}

derivative of 64-x^2

\frac{d}{d x} (64 - x^{2})

Frequently Asked Questions (FAQ)

What is the integral of 3t^{-7} ?
The integral of 3t^{-7} is -1/(2t^6)+C