en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 8t^5

Solution

\int 8 t^{5} d t

Solution

\frac{4 t ^{6}}{3} + C

Solution steps

\int 8 t^{5} d t

Take the constant out:

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

= 8 \cdot \int t^{5} d t

Apply the Power Rule

= 8 \cdot \frac{t ^{6}}{6}

Simplify

8 \cdot \frac{t ^{6}}{6} : \frac{4 t ^{6}}{3}

= \frac{4 t ^{6}}{3}

Add a constant to the solution

= \frac{4 t ^{6}}{3} + C

Graph

Popular Examples

derivative of axcos(x+bxsin(x))

limit as x approaches 6+of sqrt(6-x)

derivative of 4x^2sin(x)tan(x)

integral of (3x)/(sqrt(4x^2+5))

derivative of sqrt(7-2x)

Frequently Asked Questions (FAQ)

What is the integral of 8t^5 ?
The integral of 8t^5 is (4t^6)/3+C