Integration by Parts: Example 4
In this video I go over another example on integration by parts and this time solve the integral of the function (e^x)·sin(x). This is an interesting example in showing that although applying the integration by parts does not simplify the integral, the fact that we are dealing with trigonometry functions in sin(x) and cos(x), applying the integration by parts simply alternates which trig function we use. This allows us to apply the integration by parts twice to obtain the starting integral of (e^x)·sin(x) on both sides and thus we can add the two and thus divide by 2 to get the final answer. This is a very useful example on integrating by parts so make sure to watch it!
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Integration by Parts: Example 3: Integrating Twice by Parts: http://youtu.be/Aq0dRUL4Wss
Integration by Parts: Example 2: ln(x): http://youtu.be/wVjra6DCZzE
Integration by Parts: Example 1: http://youtu.be/K8pReMFOJl4
Integration by Parts: Proof: http://youtu.be/TZhEOct5u_M
Derivative Rules - Proof of the Product Rule: http://youtu.be/EIjvGJhDAOk
The Substitution Rule for Integrals: http://youtu.be/VsLC-0g6hVg
Derivative Rules: Proof of Chain Rule: http://youtu.be/tYDDpKzP-VU
The Definite Integral - Brief Introduction: http://youtu.be/vhMP5SKbQjU
Fundamental Theorem of Calculus - Intro and Proof of Part 2 of the Theorem: http://youtu.be/yuIl-BPQHss
Fundamental Theorem of Calculus - Introduction and Part 1 of the Theorem: http://youtu.be/3o8Q6UJzJyk
Fundamental Theorem of Calculus - Proof of Part 1 of the Theorem: http://youtu.be/CAqTwiPxYwU .
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