en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 5t

Solution

\int 5 t d t

Solution

\frac{5 t ^{2}}{2} + C

Solution steps

\int 5 t d t

Take the constant out:

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

= 5 \cdot \int t d t

Apply the Power Rule

: \frac{t ^{2}}{2}

= 5 \cdot \frac{t ^{2}}{2}

Multiply fractions:

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

= \frac{5 t ^{2}}{2}

Add a constant to the solution

= \frac{5 t ^{2}}{2} + C

Popular Examples

laplacetransform 7sin(3/2 t)laplace transform

7 sin (\frac{3}{2} t)

y^{''}-y^'+5y=0

y^{^{''}} - y^{^{'}} + 5 y = 0

laplacetransform te^{-2t}laplace transform

t e^{- 2 t}

(\partial)/(\partial x)(y/(x+1))

\frac{\partial}{\partial x} (\frac{y}{x + 1})

inverse oflaplace s/1 inverse laplace

\frac{s}{1}

Frequently Asked Questions (FAQ)

What is the integral of 5t ?
The integral of 5t is (5t^2)/2+C