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Popular >

integral from 4 to 8 of 1-4/x

Solution

\int_{4}^{8} 1 - \frac{4}{x} d x

Solution

4 - 4 ln (2)

+1

Decimal Notation

1.22741 \dots

Solution steps

\int_{4}^{8} 1 - \frac{4}{x} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{4}^{8} 1 d x - \int_{4}^{8} \frac{4}{x} d x

\int_{4}^{8} 1 d x = 4

\int_{4}^{8} \frac{4}{x} d x = 4 ln (2)

= 4 - 4 ln (2)

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(\partial)/(\partial x)(y+sqrt(x))

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limit as x approaches infinity of (1-0.8^{x+1})/(1-0.8)

x \to \infty lim (\frac{1 - 0. 8 ^{x + 1}}{1 - 0.8})

inverse oflaplace 3/((s-3))inverse laplace

\frac{3}{( s - 3 )}

Frequently Asked Questions (FAQ)

What is the integral from 4 to 8 of 1-4/x ?
The integral from 4 to 8 of 1-4/x is 4-4ln(2)