en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of t^2-4t+3

Solution

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

Solution

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

Solution steps

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

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

\int 4 t d t = 2 t^{2}

\int 3 d t = 3 t

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

Add a constant to the solution

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

Popular Examples

integral of sin(y)cos(x)

\int sin (y) cos (x) d x

integral from 1 to 8 of xln(x)

\int_{1}^{8} x ln (x) d x

integral of 8x^3+9sin(x)

\int 8 x^{3} + 9 sin (x) d x

derivative of-(12)/(x^4)derivative of

- \frac{12}{x ^{4}}

y^{''}+2y^'+2y=sin(t)

y^{^{''}} + 2 y^{^{'}} + 2 y = sin (t)

Frequently Asked Questions (FAQ)

What is the integral of t^2-4t+3 ?
The integral of t^2-4t+3 is (t^3)/3-2t^2+3t+C