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Popular >

integral from-6 to 6 of (2x+12)

Solution

\int_{- 6}^{6} (2 x + 12) d x

Solution

144

Solution steps

\int_{- 6}^{6} 2 x + 12 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_{- 6}^{6} 2 x d x + \int_{- 6}^{6} 12 d x

\int_{- 6}^{6} 2 x d x = 0

\int_{- 6}^{6} 12 d x = 144

= 0 + 144

Simplify

= 144

Popular Examples

integral of (x^3)/(2x-1)

\int \frac{x ^{3}}{2 x - 1} d x

limit as x approaches 0 of |x|^x

x \to 0 lim (∣ x ∣^{x})

limit as x approaches 3-of 6/((x-3)^5)

x \to 3 - lim (\frac{6}{( x - 3 ) ^{5}})

sum from n=1 to infinity of 1/(n^4)

n = 1 \sum \infty \frac{1}{n ^{4}}

area y=x^2,y=3-2x area

y = x^{2}, y = 3 - 2 x

Frequently Asked Questions (FAQ)

What is the integral from-6 to 6 of (2x+12) ?
The integral from-6 to 6 of (2x+12) is 144