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Popular >

integral from 5/3 to 3 of 3t-5

Solution

\int_{\frac{5}{3}}^{3} 3 t - 5 d t

Solution

\frac{8}{3}

+1

Decimal

2.66666 \dots

Solution steps

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

\int_{\frac{5}{3}}^{3} 3 t d t = \frac{28}{3}

\int_{\frac{5}{3}}^{3} 5 d t = \frac{20}{3}

= \frac{28}{3} - \frac{20}{3}

Simplify

\frac{28}{3} - \frac{20}{3} : \frac{8}{3}

= \frac{8}{3}

Graph

Popular Examples

integral from 5 to 11 of 1/(x-4)

\int_{5}^{11} \frac{1}{x - 4} d x

integral from-13 to 13 of 1/(x^2+x-56)

\int_{- 13}^{13} \frac{1}{x ^{2} + x - 56} d x

integral from 1 to pi/3 of tan(t)

\int_{1}^{\frac{π}{3}} tan (t) d t

integral from-1 to 1 of (\sqrt[3]{x}-8)

\int_{- 1}^{1} (3 x - 8) d x

integral from 0 to pi of x^3sin(2x)

\int_{0}^{π} x^{3} sin (2 x) d x

Frequently Asked Questions (FAQ)

What is the integral from 5/3 to 3 of 3t-5 ?
The integral from 5/3 to 3 of 3t-5 is 8/3