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Popular >

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

Solution

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

Solution

- \frac{7}{4}

+1

Decimal Notation

- 1.75

Solution steps

\int_{2}^{1} 1 + \frac{z}{2} d z

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{1}^{2} 1 + \frac{z}{2} d z

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= - (\int_{1}^{2} 1 d z + \int_{1}^{2} \frac{z}{2} d z)

\int_{1}^{2} 1 d z = 1

\int_{1}^{2} \frac{z}{2} d z = \frac{3}{4}

= - (1 + \frac{3}{4})

Join

1 + \frac{3}{4} : \frac{7}{4}

= - \frac{7}{4}

Popular Examples

integral from 1 to x of sin(x)

\int_{1}^{x} sin (x) d x

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

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

integral from 0 to sqrt(5 of)sqrt(5-x^2)

\int_{0}^{5} 5 - x^{2} d x

integral from 0 to 2 of xe^{(-x^2-1)/2}

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

integral from 1 to 4 of-sqrt(x)-(2-x)

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

Frequently Asked Questions (FAQ)

What is the integral from 2 to 1 of (1+z/2) ?
The integral from 2 to 1 of (1+z/2) is -7/4