en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 16t^3

Solution

\int 16 t^{3} d t

Solution

4 t^{4} + C

Solution steps

\int 16 t^{3} d t

Take the constant out:

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

= 16 \cdot \int t^{3} d t

Apply the Power Rule

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

= 16 \cdot \frac{t ^{4}}{4}

Simplify

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

= 4 t^{4}

Add a constant to the solution

= 4 t^{4} + C

Popular Examples

integral from 1/2 to 7 of 10xln(2x)

\int_{\frac{1}{2}}^{7} 10 x ln (2 x) d x

integral from 0 to 4 of 3e^{-x^2}

\int_{0}^{4} 3 e^{- x^{2}} d x

derivative of f(x)=9 derivative of

f (x) = 9

integral of cot(m)xcsc^2(m)x

\int cot (m) x csc^{2} (m) x d x

tangent of f(x)=2x^3,\at x=-1 tangent of

f (x) = 2 x^{3}, at x = - 1

Frequently Asked Questions (FAQ)

What is the integral of 16t^3 ?
The integral of 16t^3 is 4t^4+C