Evaluate the integral: {eq}\int_{0}^{\frac{\pi}{2}} \cos^3(\theta) \sin(2 \theta) \mathrm{d} \theta {/eq}.
Question:
Evaluate the integral: {eq}\int_{0}^{\frac{\pi}{2}} \cos^3(\theta) \sin(2 \theta) \mathrm{d} \theta {/eq}.
Definite Integral in Calculus:
There are many techniques to solve integral problems. To solve this problem we'll use u-substitution.
Next, we'll compute the boundaries to get the desired solution.
Answer and Explanation: 1
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View this answerWe are given:
{eq}\displaystyle \int_{0}^{\frac{\pi}{2}} \cos^3(\theta) \sin(2 \theta) \mathrm{d} \theta {/eq}
Compute the indefinite integral:
{e...
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Chapter 7 / Lesson 9Learn the work done formula and understand the application of work integral in the work done formula with examples problems using calculus.