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Popular >

integral from 0 to 3 of 3x-7

Solution

\int_{0}^{3} 3 x - 7 d x

Solution

- \frac{15}{2}

+1

Decimal Notation

- 7.5

Solution steps

\int_{0}^{3} 3 x - 7 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_{0}^{3} 3 x d x - \int_{0}^{3} 7 d x

\int_{0}^{3} 3 x d x = \frac{27}{2}

\int_{0}^{3} 7 d x = 21

= \frac{27}{2} - 21

Simplify

\frac{27}{2} - 21 : - \frac{15}{2}

= - \frac{15}{2}

Popular Examples

integral from 0 to 2 of pi(2-z)

\int_{0}^{2} π (2 - z) d z

integral from 2 to 8 of 1/(x^2)

\int_{2}^{8} \frac{1}{x ^{2}} d x

integral from-infinity to 0 of sqrt(4-x)

\int_{- \infty}^{0} 4 - x d x

integral from 0 to 1 of e^x(x^2+x)

\int_{0}^{1} e^{x} (x^{2} + x) d x

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\int_{\frac{π}{4}}^{\frac{π}{2}} csc^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 3x-7 ?
The integral from 0 to 3 of 3x-7 is -15/2