en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

: \frac{t ^{4}}{4}

= 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

Popular Examples

integral of (5x^2-5)/(x^3-9x^2+23x-15)

\int \frac{5 x ^{2} - 5}{x ^{3} - 9 x ^{2} + 23 x - 15} d x

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

\int sin^{8} (\frac{3}{4}) x \cdot cos^{6} (\frac{3}{4}) x d x

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

\int \frac{x ^{3} + x ^{2} + x - 5}{x ^{2} + 2 x + 4} d x

integral of xsin(1+5x)

\int x sin (1 + 5 x) d x

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

\int (2 x^{3} + 3 x - 5) d x

Frequently Asked Questions (FAQ)

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