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Popular >

integral from 3 to 7 of 6-2x

Solution

\int_{3}^{7} 6 - 2 x d x

Solution

- 16

Solution steps

\int_{3}^{7} 6 - 2 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}^{7} 6 d x - \int_{3}^{7} 2 x d x

\int_{3}^{7} 6 d x = 24

\int_{3}^{7} 2 x d x = 40

= 24 - 40

Simplify

= - 16

Popular Examples

integral from 4 to 0 of x^{1/2}

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

integral from 0 to 1 of (4x-3)

\int_{0}^{1} (4 x - 3) d x

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

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

integral from 1 to 3 of 2/(8+4x)

\int_{1}^{3} \frac{2}{8 + 4 x} d x

integral from 2 to infinity of 1/(x^3-8)

\int_{2}^{\infty} \frac{1}{x ^{3} - 8} d x

Frequently Asked Questions (FAQ)

What is the integral from 3 to 7 of 6-2x ?
The integral from 3 to 7 of 6-2x is -16