en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 4t

Solution

\int 4 t d t

Solution

2 t^{2} + C

Solution steps

\int 4 t d t

Take the constant out:

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

= 4 \cdot \int t d t

Apply the Power Rule

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

= 4 \cdot \frac{t ^{2}}{2}

Simplify

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

= 2 t^{2}

Add a constant to the solution

= 2 t^{2} + C

Popular Examples

(\partial)/(\partial x)((2xy^2)/(x^2+y^4))

\frac{\partial}{\partial x} (\frac{2 x y ^{2}}{x ^{2} + y ^{4}})

integral of (7x+4)/(x^3+4x^2)

\int \frac{7 x + 4}{x ^{3} + 4 x ^{2}} d x

y^'+3(tan(3x))y=7cos(3x)

y^{^{'}} + 3 (tan (3 x)) y = 7 cos (3 x)

integral of (\sqrt[12]{x}+\sqrt[13]{x})

limit as x approaches 1 of (1-x)^{ln(x)}

x \to 1 lim ((1 - x)^{l n (x)})

Frequently Asked Questions (FAQ)

What is the integral of 4t ?
The integral of 4t is 2t^2+C