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Popular >

integral from 7 to 10 of (x/2-3)

Solution

\int_{7}^{10} (\frac{x}{2} - 3) d x

Solution

\frac{15}{4}

+1

Decimal Notation

3.75

Solution steps

\int_{7}^{10} \frac{x}{2} - 3 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_{7}^{10} \frac{x}{2} d x - \int_{7}^{10} 3 d x

\int_{7}^{10} \frac{x}{2} d x = \frac{51}{4}

\int_{7}^{10} 3 d x = 9

= \frac{51}{4} - 9

Simplify

\frac{51}{4} - 9 : \frac{15}{4}

= \frac{15}{4}

Popular Examples

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

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

integral from-5 to 5 of 3x^2-6x-9

\int_{- 5}^{5} 3 x^{2} - 6 x - 9 d x

integral from 0 to 1 of sqrt(13/4+9/4 x)

\int_{0}^{1} \frac{13}{4} + \frac{9}{4} x d x

integral from 0 to 1 of sqrt(1-r^2)r

\int_{0}^{1} 1 - r^{2} r d r

integral from 1 to 2 of 4x^3-3x^2+4x+2

\int_{1}^{2} 4 x^{3} - 3 x^{2} + 4 x + 2 d x

Frequently Asked Questions (FAQ)

What is the integral from 7 to 10 of (x/2-3) ?
The integral from 7 to 10 of (x/2-3) is 15/4