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Evaluate the definite integral. integral_{0}^{pi / 4} cos 2 x sin (sin 2 x) dx.

Question:

Evaluate the definite integral.

{eq}\displaystyle \int_{0}^{\frac{\pi}{4}} \cos 2 x \sin (\sin 2 x)\ dx {/eq}.

Definite Integral:

The procedure for solving a definite integral is to first calculate the indefinite integral by applying the most convenient integration method to simplify and convert the integral into a common or standard integral. Finally, we compute the boundaries of the definite integral.

Answer and Explanation: 1

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{eq}\eqalign{ & {\text{We're going to evaluate the definite integral }}\,\int_0^{\frac{\pi }{4}} {\cos 2x\sin \left( {\sin 2x} \right)dx} . \cr &...

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Evaluating Definite Integrals Using the Fundamental Theorem

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Chapter 16 / Lesson 2
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In calculus, the fundamental theorem is an essential tool that helps explain the relationship between integration and differentiation. Learn about evaluating definite integrals using the fundamental theorem, and work examples to gain understanding.


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