en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 6t^2+1

Solution

\int 6 t^{2} + 1 d t

Solution

2 t^{3} + t + C

Solution steps

\int 6 t^{2} + 1 d t

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 6 t^{2} d t + \int 1 d t

\int 6 t^{2} d t = 2 t^{3}

\int 1 d t = t

= 2 t^{3} + t

Add a constant to the solution

= 2 t^{3} + t + C

Graph

Popular Examples

integral of ((sqrt(x)+3)^3)/(sqrt(x))

\int \frac{( x + 3 ) ^{3}}{x} d x

integral of e^{-st}(cos(t))

\int e^{- s t} (cos (t)) d t

integral of (100+t)^4

\int (100 + t)^{4} d t

integral of (x^2+5)^32x

\int (x^{2} + 5)^{3} 2 x d x

integral of-(t^2)/(sqrt(t^2+4t+3))

\int - \frac{t ^{2}}{t ^{2} + 4 t + 3} d t

Frequently Asked Questions (FAQ)

What is the integral of 6t^2+1 ?
The integral of 6t^2+1 is 2t^3+t+C