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Popular >

integral from 0 to 4 of |4x-1|

Solution

\int_{0}^{4} ∣ 4 x - 1 ∣ d x

Solution

\frac{113}{4}

+1

Decimal Notation

28.25

Solution steps

\int_{0}^{4} ∣ 4 x - 1 ∣ d x

Eliminate Absolutes

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

\int_{0}^{\frac{1}{4}} - 4 x + 1 d x = \frac{1}{8}

\int_{\frac{1}{4}}^{4} 4 x - 1 d x = \frac{225}{8}

= \frac{1}{8} + \frac{225}{8}

Simplify

\frac{1}{8} + \frac{225}{8} : \frac{113}{4}

= \frac{113}{4}

Popular Examples

integral of (6x^2)/(sqrt(4x-x^2))

\int \frac{6 x ^{2}}{4 x - x ^{2}} d x

derivative of (4x^2+2x+4/(sqrt(x)))

\frac{d}{d x} (\frac{4 x ^{2} + 2 x + 4}{x})

sum from n=1 to infinity of 6^nx^nn!

n = 1 \sum \infty 6^{n} x^{n} n!

integral of xcos(9x^2)

\int x cos (9 x^{2}) d x

derivative of y=(3x^3-2)^5 derivative of

y = (3 x^{3} - 2)^{5}

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of |4x-1| ?
The integral from 0 to 4 of |4x-1| is 113/4