Evaluate the integral by any method.
{eq}\displaystyle \int_{\frac{\pi}{2}}^{\pi} -9\sin(x)(\cos(x) + 1)^2\text{ d}x {/eq}
Question:
Evaluate the integral by any method.
{eq}\displaystyle \int_{\frac{\pi}{2}}^{\pi} -9\sin(x)(\cos(x) + 1)^2\text{ d}x {/eq}
Integration using Substitution:
Substitution method is typically applied to integrands that contain a term and at least a part of its derivative. In this method, we first assign an arbitrary variable to an expression, then obtain a corresponding value to its differential variable. For definite integrals, the limits of integration are also changed.
Answer and Explanation:
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View this answerGiven:
$$\int_{\frac{\pi}{2}}^{\pi} -9\sin(x)(\cos(x) + 1)^2\text{ d}x \\ $$
To evaluate the integral, we apply substitution by letting {eq}u =...
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Chapter 13 / Lesson 5Explore the steps in integration by substitution. Learn the importance of integration with the chain rule and see the u-substitution formula with various examples.