What is an integral of {eq}sin (\sqrt{x+4}) dx {/eq}?
Question:
What is an integral of {eq}sin (\sqrt{x+4}) dx {/eq}?
ntegration:
The given integral is a complicated integral. To evaluate the given integral, the techniques that we'll apply are the u-substitution and integration by parts. U-substitution is applied in those cases when the integrand that is given has the structure {eq}\int f(g(x))g'(x)dx {/eq} and integration by parts is also named as the product rule of integration and is equal to {eq}\displaystyle \int u \cdot v\text{d}x=u\int v\text{d}x-\int u'\left ( \int v\text{d}x \right )\text{d}x {/eq}
Answer and Explanation: 1
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We have to find the {eq}\int \sin (\sqrt{x+4}) dx {/eq}
We 'll apply the substitution {eq}\sqrt{x+4}=t {/eq}
Differentiate both sides of...
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Chapter 7 / Lesson 14Learn the concept and rules of indefinite and definite integrals, as well as how to find an indefinite integral through examples. View a table of integrals.