en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3t^4

Solution

\int 3 t^{4} d t

Solution

\frac{3 t ^{5}}{5} + C

Solution steps

\int 3 t^{4} d t

Take the constant out:

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

= 3 \cdot \int t^{4} d t

Apply the Power Rule

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

= 3 \cdot \frac{t ^{5}}{5}

Multiply fractions:

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

= \frac{3 t ^{5}}{5}

Add a constant to the solution

= \frac{3 t ^{5}}{5} + C

Popular Examples

(\partial)/(\partial s)(tcos(s))

\frac{\partial}{\partial s} (t cos (s))

1/x y^'= 1/x-1/(x^3)-5-y

\frac{1}{x} y^{^{'}} = \frac{1}{x} - \frac{1}{x ^{3}} - 5 - y

integral of 1/(w^2+9)

\int \frac{1}{w ^{2} + 9} d w

derivative of sqrt(5-4x)

\frac{d}{d x} (5 - 4 x)

derivative of |x^2-3x+2|

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

Frequently Asked Questions (FAQ)

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