en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 32t

Solution

\int 32 t d t

Solution

16 t^{2} + C

Solution steps

\int 32 t d t

Take the constant out:

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

= 32 \cdot \int t d t

Apply the Power Rule

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

= 32 \cdot \frac{t ^{2}}{2}

Simplify

32 \cdot \frac{t ^{2}}{2} : 16 t^{2}

= 16 t^{2}

Add a constant to the solution

= 16 t^{2} + C

Graph

Popular Examples

integral of (e^2)/(x^2)

\int \frac{e ^{2}}{x ^{2}} d x

integral of (e^{7x})/(e^{7x)+5}

\int \frac{e ^{7 x}}{e ^{7 x} + 5} d x

integral of ((1+cos^2(x))/(cos^2(x)))

\int (\frac{1 + cos ^{2} ( x )}{cos ^{2} ( x )}) d x

integral of (3sin(x)-2sec^2(x))

\int (3 sin (x) - 2 sec^{2} (x)) d x

\int 27 d x

Frequently Asked Questions (FAQ)

What is the integral of 32t ?
The integral of 32t is 16t^2+C