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Popular >

integral from-8 to 7 of (1-x)

Solution

\int_{- 8}^{7} (1 - x) d x

Solution

\frac{45}{2}

+1

Decimal Notation

22.5

Solution steps

\int_{- 8}^{7} 1 - 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_{- 8}^{7} 1 d x - \int_{- 8}^{7} x d x

\int_{- 8}^{7} 1 d x = 15

\int_{- 8}^{7} x d x = - \frac{15}{2}

= 15 - (- \frac{15}{2})

Simplify

15 - (- \frac{15}{2}) : \frac{45}{2}

= \frac{45}{2}

Popular Examples

integral from-1 to 0 of 1/(1+e^t)

\int_{- 1}^{0} \frac{1}{1 + e ^{t}} d t

integral from 0 to 1/2 of x^2e^{6x}

\int_{0}^{\frac{1}{2}} x^{2} e^{6 x} d x

integral from-2 to 2 of 28-7x^2

\int_{- 2}^{2} 28 - 7 x^{2} d x

integral from-1 to 1 of (x^4-2x^2+1)

\int_{- 1}^{1} (x^{4} - 2 x^{2} + 1) d x

integral from 0 to 4 of (5x+3)

\int_{0}^{4} (5 x + 3) d x

Frequently Asked Questions (FAQ)

What is the integral from-8 to 7 of (1-x) ?
The integral from-8 to 7 of (1-x) is 45/2