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Popular >

integral from 0 to 5 of (3t-8)

Solution

\int_{0}^{5} (3 t - 8) d t

Solution

- \frac{5}{2}

+1

Decimal

- 2.5

Solution steps

\int_{0}^{5} 3 t - 8 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}^{5} 3 t d t - \int_{0}^{5} 8 d t

\int_{0}^{5} 3 t d t = \frac{75}{2}

\int_{0}^{5} 8 d t = 40

= \frac{75}{2} - 40

Simplify

\frac{75}{2} - 40 : - \frac{5}{2}

= - \frac{5}{2}

Graph

Popular Examples

integral from 2 to 3 of (3x+8)

\int_{2}^{3} (3 x + 8) d x

integral from 0 to 1 of 30xy

\int_{0}^{1} 30 x y d y

integral from-2 to 1 of (x^2)

\int_{- 2}^{1} (x^{2}) d x

integral from 1 to 4 of 2pix(1+sqrt(x))

\int_{1}^{4} 2 π x (1 + x) d x

integral from-1 to 0 of 1/(sqrt(x))

\int_{- 1}^{0} \frac{1}{x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of (3t-8) ?
The integral from 0 to 5 of (3t-8) is -5/2