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Popular >

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

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\int_{0}^{1} 2 x - 1 d x

integral from-1 to 2 of 2

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

integral from 0 to pi/4 of x

\int_{0}^{\frac{π}{4}} x d x

integral from-1 to 2 of x^3e^{x^2}

\int_{- 1}^{2} x^{3} e^{x^{2}} d x

integral from 8 to 10 of x/(50)

\int_{8}^{10} \frac{x}{50} d x

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