en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from 0 to 3 of (3t-5)

Solution

\int_{0}^{3} (3 t - 5) d t

Solution

- \frac{3}{2}

+1

Decimal

- 1.5

Solution steps

\int_{0}^{3} 3 t - 5 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_{0}^{3} 3 t d t - \int_{0}^{3} 5 d t

\int_{0}^{3} 3 t d t = \frac{27}{2}

\int_{0}^{3} 5 d t = 15

= \frac{27}{2} - 15

Simplify

\frac{27}{2} - 15 : - \frac{3}{2}

= - \frac{3}{2}

Graph

Popular Examples

limit as x approaches 7 of x/((x-7)^2)

2xy^'=2xe^x-2y+6x^2

derivative of arcsec(x^8)

derivative of (2x-3/(4x+1))

derivative of f(x)=(2x+3)(x^2-4)

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (3t-5) ?
The integral from 0 to 3 of (3t-5) is -3/2