en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 12t^2

Solution

\int 12 t^{2} d t

Solution

4 t^{3} + C

Solution steps

\int 12 t^{2} d t

Take the constant out:

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

= 12 \cdot \int t^{2} d t

Apply the Power Rule

: \frac{t ^{3}}{3}

= 12 \cdot \frac{t ^{3}}{3}

Simplify

12 \cdot \frac{t ^{3}}{3} : 4 t^{3}

= 4 t^{3}

Add a constant to the solution

= 4 t^{3} + C

Graph

Popular Examples

(dy)/(dx)=3y^2e^{3x},y(0)=1

\frac{d y}{d x} = 3 y^{2} e^{3 x}, y (0) = 1

tangent of f(x)=ln(1+2x^5),(0,0)tangent of

f (x) = ln (1 + 2 x^{5}), (0, 0)

derivative of f(x)=(1+3x)/(x-2)derivative of

f (x) = \frac{1 + 3 x}{x - 2}

derivative of sqrt(log_{b)(x})

\frac{d}{d x} (lo g_{b} (x))

\int e^{d} x d x

Frequently Asked Questions (FAQ)

What is the integral of 12t^2 ?
The integral of 12t^2 is 4t^3+C