en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-t^2+2

Solution

integral

- t^{2} + 2

Solution

- \frac{t ^{3}}{3} + 2 t + C

Solution steps

\int - t^{2} + 2 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 t^{2} d t + \int 2 d t

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

\int 2 d t = 2 t

= - \frac{t ^{3}}{3} + 2 t

Add a constant to the solution

= - \frac{t ^{3}}{3} + 2 t + C

Popular Examples

integral of (e^{-x})^2(x^3)integral

(e^{- x})^{2} (x^{3})

integral of sqrt(x^2+y^2)integral

x^{2} + y^{2}

integral of t/((1+t))integral

\frac{t}{( 1 + t )}

integral of (ln(1))/x integral

\frac{ln ( 1 )}{x}

integral of (x^2)/(sqrt(1-9x^2))integral

\frac{x ^{2}}{1 - 9 x ^{2}}

Frequently Asked Questions (FAQ)

What is the integral of-t^2+2 ?
The integral of-t^2+2 is -(t^3)/3+2t+C