![Evaluate the integral and interpret it as the area of a region. \int_0^\frac{\pi}{2} |2 \sin(x) - 2 \cos(2x)| dx | Homework.Study.com Evaluate the integral and interpret it as the area of a region. \int_0^\frac{\pi}{2} |2 \sin(x) - 2 \cos(2x)| dx | Homework.Study.com](https://homework.study.com/cimages/multimages/16/graph3238217903753176271.jpg)
Evaluate the integral and interpret it as the area of a region. \int_0^\frac{\pi}{2} |2 \sin(x) - 2 \cos(2x)| dx | Homework.Study.com
![calculus - I forgot how to integrate. Theory question. Why is $\frac{-\pi}{2}\neq \frac{3\pi}{2}$ here? - Mathematics Stack Exchange calculus - I forgot how to integrate. Theory question. Why is $\frac{-\pi}{2}\neq \frac{3\pi}{2}$ here? - Mathematics Stack Exchange](https://i.stack.imgur.com/cRVEd.jpg)
calculus - I forgot how to integrate. Theory question. Why is $\frac{-\pi}{2}\neq \frac{3\pi}{2}$ here? - Mathematics Stack Exchange
![What is the graph of the region of integration of the following double integral in polar? \int_0^{2\pi} \int_0^1 f(r, \theta) rdrd\theta | Homework.Study.com What is the graph of the region of integration of the following double integral in polar? \int_0^{2\pi} \int_0^1 f(r, \theta) rdrd\theta | Homework.Study.com](https://homework.study.com/cimages/multimages/16/double_integration887324327776791133.jpg)
What is the graph of the region of integration of the following double integral in polar? \int_0^{2\pi} \int_0^1 f(r, \theta) rdrd\theta | Homework.Study.com
![SOLVED: 1. ∫0^(π)/(2)sin ^6 x d x 2. ∫0^(π)/(2)sin ^10 x cos ^7 x d x 3. ∫0^(π)/(2)sin ^12 2 θcos 2 θ d θ 4. ∫0^(π)/(2)cos ^5 y sin ^6 y d y SOLVED: 1. ∫0^(π)/(2)sin ^6 x d x 2. ∫0^(π)/(2)sin ^10 x cos ^7 x d x 3. ∫0^(π)/(2)sin ^12 2 θcos 2 θ d θ 4. ∫0^(π)/(2)cos ^5 y sin ^6 y d y](https://cdn.numerade.com/ask_images/66834144d0ea4786a19daaef06c1b363.png)