calc-2 | Mathematics | Page 1

dense siloBOT Dec 10, 2023, 4:15 PM

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normal spruce Dec 10, 2023, 4:19 PM

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yep

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for the first integral, a substitution for sure

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as you can see you have a second degree polynomial power on the e and a regular x multiple

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if you make a substitution it will cancel

green compass Dec 10, 2023, 4:22 PM

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U substitution?

normal spruce Dec 10, 2023, 4:23 PM

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ye

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It's called u substitution but it doesn't matter what letter you choose

green compass Dec 10, 2023, 4:24 PM

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in second one?

normal spruce Dec 10, 2023, 4:24 PM

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reduction formula maybe

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unless

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you do a substitunion for cos

green compass Dec 10, 2023, 4:25 PM

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in first one which one i make U and which V ?

normal spruce Dec 10, 2023, 4:27 PM

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green compass Dec 10, 2023, 4:29 PM

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thank you ❤️

normal spruce Dec 10, 2023, 4:30 PM

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oh i found a way to do number 2 using double substitution i think

green compass Dec 10, 2023, 4:30 PM

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how so

normal spruce Dec 10, 2023, 4:32 PM

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wait nvm, im trying it rn i think i missed one thing

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What methods have you learned so far?

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just so I have an idea what to use and what to not

green compass Dec 10, 2023, 4:37 PM

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indefinite integral and techniques of its integration, direct integration, substitution rule, integration by parts, trig. integrals, trig.substitution, integration of rational functions by partial fractions; definite integral, fundamental theorem of calculus.

normal spruce Dec 10, 2023, 4:37 PM

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ok'

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reduction form

green compass Dec 10, 2023, 4:41 PM

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thanks so much

normal spruce Dec 10, 2023, 4:46 PM

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k-1 should be m-1

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my bad

green compass Dec 10, 2023, 6:55 PM

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What do I do now?

normal spruce Dec 10, 2023, 6:56 PM

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substitute

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u instead of 3x^2-2

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and du/6x instead of dx

green compass Dec 10, 2023, 6:58 PM

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It doesn’t substitute

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normal spruce Dec 10, 2023, 6:58 PM

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the x cancels

green compass Dec 10, 2023, 6:59 PM

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How did it became 10 at top?

normal spruce Dec 10, 2023, 6:59 PM

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well you're going from x to u

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so the integral bounds change

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when x is 1 u is 1, when x is 2 u is 10

green compass Dec 10, 2023, 7:00 PM

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I have this test for Wednesday lol then I have another test on 20th

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I’m fuckedd

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This one 😭

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normal spruce Dec 10, 2023, 7:02 PM

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example

normal spruce Dec 10, 2023, 7:04 PM

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green compass

well this is just pretty basic integration

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you use the given formula

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plug in everything

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and integrate

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practice, practice and practice, It'll be easy after practice

green compass Dec 10, 2023, 7:06 PM

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normal spruce

ohh i see

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thanks man ❤️ ur a great deal of help

normal spruce Dec 10, 2023, 7:08 PM

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whenever you're changing the variable, you're computing into "its world"

#calc-2