What is the integral from 0 to (3pi)/2 of |cos(x)| ?

The integral from 0 to (3pi)/2 of |cos(x)| is 3

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integral from 0 to (3pi)/2 of |cos(x)|

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

3

Solution steps

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

Eliminate Absolutes

= \int_{0}^{\frac{π}{2}} cos (x) d x + \int_{\frac{π}{2}}^{\frac{3 π}{2}} - cos (x) d x

\int_{0}^{\frac{π}{2}} cos (x) d x = 1

\int_{\frac{π}{2}}^{\frac{3 π}{2}} - cos (x) d x = 2

= 1 + 2

Simplify

= 3

f (x) = \frac{2}{2 x + 1}

\frac{2 z ^{3}}{3} - z

f (t) = e^{2 t s i n (2 t)}

\int_{0}^{1} x (1 - x)^{10} d x

y y^{^{'}} - 21 e^{x} = 0

What is the integral from 0 to (3pi)/2 of |cos(x)| ?
The integral from 0 to (3pi)/2 of |cos(x)| is 3