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Popular >

integral from-1 to 2 of |2x-3|

Solution

\int_{- 1}^{2} ∣ 2 x - 3 ∣ d x

Solution

\frac{13}{2}

+1

Decimal Notation

6.5

Solution steps

\int_{- 1}^{2} ∣ 2 x - 3 ∣ d x

Eliminate Absolutes

= \int_{- 1}^{\frac{3}{2}} - 2 x + 3 d x + \int_{\frac{3}{2}}^{2} 2 x - 3 d x

\int_{- 1}^{\frac{3}{2}} - 2 x + 3 d x = \frac{25}{4}

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

= \frac{25}{4} + \frac{1}{4}

Simplify

\frac{25}{4} + \frac{1}{4} : \frac{13}{2}

= \frac{13}{2}

Popular Examples

y^{^{''}} + 36 y = 0

integral of (cos(x)sin^2(x))

\int (cos (x) sin^{2} (x)) d x

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

\frac{d}{d x} (\frac{2 x ^{2} - 1}{x ^{2} - 3})

integral of 20x^3+12x^2+4

\int 20 x^{3} + 12 x^{2} + 4 d x

(\partial)/(\partial x)(y^2x+y)

\frac{\partial}{\partial x} (y^{2} x + y)

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of |2x-3| ?
The integral from-1 to 2 of |2x-3| is 13/2