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Popular >

integral from 0 to 3 of (3x-8)

Solution

\int_{0}^{3} (3 x - 8) d x

Solution

- \frac{21}{2}

+1

Solution steps

\int_{0}^{3} 3 x - 8 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} 8 d x

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

\int_{0}^{3} 8 d x = 24

= \frac{27}{2} - 24

Simplify

\frac{27}{2} - 24 : - \frac{21}{2}

= - \frac{21}{2}

Popular Examples

integral from 3 to 4 of x^4

\int_{3}^{4} x^{4} d x

integral from 1 to 2 of (2x+1/x)

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

integral from 0 to 2 of 3^{3x}

\int_{0}^{2} 3^{3 x} d x

integral from 0 to 3 of 2tsqrt(4t^2+4)

\int_{0}^{3} 2 t 4 t^{2} + 4 d t

integral from x to 1 of 1

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (3x-8) ?
The integral from 0 to 3 of (3x-8) is -21/2