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Popular >

integral from 7 to 10 of (x-8)^2

Solution

\int_{7}^{10} (x - 8)^{2} d x

Solution

3

Solution steps

\int_{7}^{10} (x - 8)^{2} d x

Expand

(x - 8)^{2} : x^{2} - 16 x + 64

= \int_{7}^{10} x^{2} - 16 x + 64 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_{7}^{10} x^{2} d x - \int_{7}^{10} 16 x d x + \int_{7}^{10} 64 d x

\int_{7}^{10} x^{2} d x = 219

\int_{7}^{10} 16 x d x = 408

\int_{7}^{10} 64 d x = 192

= 219 - 408 + 192

Simplify

= 3

Graph

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\int_{0}^{1} 6 x^{2} 1 - x^{3} d x

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\int_{0}^{1} \frac{e ^{2 x} - 1}{e ^{x}} d x

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\int_{- 4}^{3} ∣ - 6 x ∣ d x

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

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

integral from 1 to infinity of 7/(1+x^2)

\int_{1}^{\infty} \frac{7}{1 + x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from 7 to 10 of (x-8)^2 ?
The integral from 7 to 10 of (x-8)^2 is 3