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Popular >

integral from-1 to 0 of |4w+3|

Solution

\int_{- 1}^{0} ∣ 4 w + 3 ∣ d w

Solution

\frac{5}{4}

+1

Decimal Notation

1.25

Solution steps

\int_{- 1}^{0} ∣ 4 w + 3 ∣ d w

Eliminate Absolutes

= \int_{- 1}^{- \frac{3}{4}} - 4 w - 3 d w + \int_{- \frac{3}{4}}^{0} 4 w + 3 d w

\int_{- 1}^{- \frac{3}{4}} - 4 w - 3 d w = \frac{1}{8}

\int_{- \frac{3}{4}}^{0} 4 w + 3 d w = \frac{9}{8}

= \frac{1}{8} + \frac{9}{8}

Simplify

\frac{1}{8} + \frac{9}{8} : \frac{5}{4}

= \frac{5}{4}

Popular Examples

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\int_{0}^{1} \frac{x ^{2}}{( 1 + x )} d x

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\int_{0}^{l n (2)} e^{- y} d y

integral from 0 to pi/2 of cos(kx)

\int_{0}^{\frac{π}{2}} cos (k x) d x

integral from-1 to 1 of 6/(1+36t^2)

\int_{- 1}^{1} \frac{6}{1 + 36 t ^{2}} d t

integral from 0 to 2pi of sin(x)cos^3(x)

\int_{0}^{2 π} sin (x) cos^{3} (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 0 of |4w+3| ?
The integral from-1 to 0 of |4w+3| is 5/4