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Popular >

integral from-3 to 4 of (10-5x)

Solution

\int_{- 3}^{4} (10 - 5 x) d x

Solution

\frac{105}{2}

+1

Decimal

52.5

Solution steps

\int_{- 3}^{4} 10 - 5 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_{- 3}^{4} 10 d x - \int_{- 3}^{4} 5 x d x

\int_{- 3}^{4} 10 d x = 70

\int_{- 3}^{4} 5 x d x = \frac{35}{2}

= 70 - \frac{35}{2}

Simplify

70 - \frac{35}{2} : \frac{105}{2}

= \frac{105}{2}

Graph

Popular Examples

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\int_{1}^{2} x \cdot e^{x} d x

integral from 0 to 1 of (e^{1/x})/(x^2)

\int_{0}^{1} \frac{e ^{\frac{1}{x}}}{x ^{2}} d x

integral from 1 to 3 of 2sqrt(x)

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

integral from 1 to e of (x+1/x)

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

integral from-5 to-2 of 1/((x+3)^2)

\int_{- 5}^{- 2} \frac{1}{( x + 3 ) ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from-3 to 4 of (10-5x) ?
The integral from-3 to 4 of (10-5x) is 105/2