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Evaluate the integrals.$$\int \cos ^{3} x \sin ^{4} x d x$$
$\frac{(\sin x)^{5}}{5}-\frac{(\sin x)^{7}}{7}+c$
Calculus 1 / AB
Calculus 2 / BC
Chapter 6
Integration Techniques
Section 3
Trigonometric Techniques of Integration
Integrals
Integration
Baylor University
University of Nottingham
Boston College
Lectures
01:53
In mathematics, integratio…
27:53
In mathematics, a techniqu…
00:37
Evaluate the integrals.
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02:16
Evaluate the integrals…
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03:43
Evaluate the following int…
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12:49
Evaluate the integral.…
01:34
Evaluate the indicated int…
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04:15
03:54
Use any method to evaluate…
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Evaluate the integral.
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01:17
Okay, so let's first notice that we have coastline and fine, so we could probably use a Yusoff. Okay, I noticed that we have coast and with the power three. So I want to rewrite that as it even power. So I'm gonna split this up into Coastline Square directs. Find your power four X and then we have Rimini coastline of X, the X. Okay, so in this case, I want are you to be sign of X because I want our derivative to be co sign of xcx. So we have using to sign of come to you in its coast, on your back, the X. So if I'm going to take you to be able to sign a max, I'm gonna want to rewrite this coastline in terms of sign. Well, thankfully, we have argued Agrium intensity that states that co six quarterbacks plus times great of actually which one so solving for sine we have or actually solving for close, fine have equal to one minus sine squared. So it's really that one minus sign square looks and then we have co sign. We're actually fine. There are four x e. And now let's replace what we have. I forgot. And we have a co signer by Yeah. Okay, so this is equal to one minus. You squared times you did about our four, and then we have Do you? Now it's one of my end. This use your power for Okay, I'll take in a robe. You have. You would just sign to the power of five X over five minus. Sign to the power of seven X over seven plus c. Okay, so we have the fall exclusion.
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