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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 Notation

- 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}

Popular Examples

integral from-1 to 1 of sqrt(x)

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

integral from 2 to 4 of 2^{2x}

\int_{2}^{4} 2^{2 x} d x

integral from 1 to infinity of x/(1+x^4)

\int_{1}^{\infty} \frac{x}{1 + x ^{4}} d x

integral from 0 to 7 of |x-6|

\int_{0}^{7} ∣ x - 6 ∣ d x

integral from 0 to pi of (3e^x+7sin(x))

\int_{0}^{π} (3 e^{x} + 7 sin (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