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Popular >

integral from 8/3 to 4 of 3t-8

Solution

\int_{\frac{8}{3}}^{4} 3 t - 8 d t

Solution

\frac{8}{3}

+1

Decimal Notation

2.66666 \dots

Solution steps

\int_{\frac{8}{3}}^{4} 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_{\frac{8}{3}}^{4} 3 t d t - \int_{\frac{8}{3}}^{4} 8 d t

\int_{\frac{8}{3}}^{4} 3 t d t = \frac{40}{3}

\int_{\frac{8}{3}}^{4} 8 d t = \frac{32}{3}

= \frac{40}{3} - \frac{32}{3}

Simplify

\frac{40}{3} - \frac{32}{3} : \frac{8}{3}

= \frac{8}{3}

Popular Examples

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f (x) = 3 x + \frac{3}{x}

derivative of (e^x/(1-x))

\frac{d}{d x} (\frac{e ^{x}}{1 - x})

derivative of f(x)=(x-2/x)derivative of

f (x) = (x - \frac{2}{x})

derivative of ((e^x)/(1+x^2))

\frac{d}{d x} (\frac{( e ^{x} )}{1 + x ^{2}})

Frequently Asked Questions (FAQ)

What is the integral from 8/3 to 4 of 3t-8 ?
The integral from 8/3 to 4 of 3t-8 is 8/3