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TormentedTurnip's Blog

Blog Posts: 24 Views: 48812 Comments: 177

TormentedTurnip

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Trigonometic Integrals and Substitution

Views: 3088 TormentedTurnip

+Rep | Report

Aspirin

Edit: ignore the spelling mistake in the title >.< updated it causes the link to break and send you to an error page.

Unlike my Psychology notes, I was far too focused to doodle around, lol.

Here's an example of solving a trigonometric integral that cannot be solved with simple u substitution (at least in the first steps):

And here's an example of one problem solved using trigonometric substitution:

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(96) |

T's the best letter in the alphabet, don'cha know!

(115) |

I would just like to say that I love your superfluous 'T's.

(12) |

Integration By parts is the first ladder and not a hurdle. Problem is to identify what to substitute where. A wrong substitution can result in an indefinite looping and catastrophe!. The integral would convert into a maze and marks 0/10..lol. Just be careful in identifying the integral so that you can substitute correct.

(96) |

Sounds like something my professor would do. xD

Haven't gotten to infusion yet. Hell, I don't even see it in the table of contents of my book. Are you in your second Calculus class - what is the actual name of the course? Mine is just Calculus 2, lol.

(158) |

It's basically that, but depending on your teacher some integration loops can get specifically disastrous...some don't loop immediately and some just become a nightmare.

Currently I'm learning about infusion and mixing rates as applied to DV/DT = a-bV models. It's meh.

(96) |

Are you talking about when the tabular method isn't possible so you have to use the regular integration by parts until it loops, then move the same integral to the other side of the equation and then solving from there? If that's the case, I think that wasn't so bad. If there's something else coming up: oh dear. :P

(158) |

OH GOD NOT SUBSTITUTION.
I literally learned this like 2 weeks ago. This sucks.
Integration by parts for a sin/cosine function is even worse.

(112) |

I...I...I can't do this. As much as I'd love to, I can't.

Sorry. So much math is too intimidating. :*(

(12) |

It's easy: there are 16 different substitutions/ways to solve all the integrals combined. Just identify the type, it can only come from practice but I think you would master it!

(96) |

This is going to be a fun test.

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Trigonometic Integrals and Substitution

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