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Trig substitution integration (x=a*sinθ, 4 examples, calculus 2)

bprp calculus basics 81,752 lượt xem 3 years ago
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In this calculus 2 tutorial, we will go over 4 examples of how to use the sine substitution to solve integrals.

0:00 When do we use x=a*sinθ
0:49 Integral of 1/sqrt(a^2-x^2)
4:12 Integral of sqrt(2-x^2)/x^2
10:25 Integral of sqrt(1-4x^2)
18:41 Integral of 1/(x*sqrt(9-x^2))

The sine substitution: https://youtu.be/9TFXhyc9QOM
The secant substitution: https://youtu.be/k9_l0mxIRpI
The tangent substitution: https://youtu.be/eXqHpt8sMqM

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