en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 5t^3

Solution

\int 5 t^{3} d t

Solution

\frac{5 t ^{4}}{4} + C

Solution steps

\int 5 t^{3} d t

Take the constant out:

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

= 5 \cdot \int t^{3} d t

Apply the Power Rule

= 5 \cdot \frac{t ^{4}}{4}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{5 t ^{4}}{4}

Add a constant to the solution

= \frac{5 t ^{4}}{4} + C

Graph

Popular Examples

integral of sin^8(3/4)x*cos^6(3/4)x

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

integral of xsin(1+5x)

integral of (2x^3+3x-5)

integral of 1/(3z(1+ln(z)))

Frequently Asked Questions (FAQ)

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