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Popular >

integral from 2 to 5 of 7-3x

Solution

\int_{2}^{5} 7 - 3 x d x

Solution

- \frac{21}{2}

+1

Decimal Notation

- 10.5

Solution steps

\int_{2}^{5} 7 - 3 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_{2}^{5} 7 d x - \int_{2}^{5} 3 x d x

\int_{2}^{5} 7 d x = 21

\int_{2}^{5} 3 x d x = \frac{63}{2}

= 21 - \frac{63}{2}

Simplify

21 - \frac{63}{2} : - \frac{21}{2}

= - \frac{21}{2}

Popular Examples

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

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

integral from 1 to 3 of x/(x^2+4)

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

integral from 4 to 4 of 1

\int_{4}^{4} 1

integral from-1 to 0 of (2x)/((2+x^2)^3)

\int_{- 1}^{0} \frac{2 x}{( 2 + x ^{2} ) ^{3}} d x

integral from 0 to 2/11 of 1/(121x^2+4)

\int_{0}^{\frac{2}{11}} \frac{1}{121 x ^{2} + 4} d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 5 of 7-3x ?
The integral from 2 to 5 of 7-3x is -21/2