Integral of tan^3x, with tan and sec

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Integral of tan^3x, with tan and sec

جزءا لا يتجزأ من تان ^ 3 (خ),
intégrante de tan ^ 3 (x),
trig integrals, trigonometric integrals, integral of sin(x), integral of tan(x), integral of sec(x), James Stewart single variable Calculus sect 7.2, integration examples, integral examples, antiderivative examples, u substitution examples, integral practice problems, calculus 2 practice problems, blackpenredpen,
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It's awesome that you resolve a large span of integral problems in a straight forward manner. Usually when I'm stuck in a problem I lose too many hours of study reviewing basic concepts or trying to understand why wolfram alpha solved such problem this or that way. Because you cover many specific cases I can now watch a short video that helps me with that particular thing I'm stuck at and move on to other exercises. Your videos are helping a lot with my productivity! Thank you!!!

peiquedq
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This man is a Godsend. Thank you Mr. Pens

Carboz
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Watching foriegn teachers like u gives. Me a diffrent taste in maths...

Unknown_User
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I wonder 1/2sec²x + In|sec xl + c also can be answer

지나가는나그네-bt
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thankyou sir ... your's new student from INDIA

tanushreechauhan
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I added tan(x) and subtracted tan(x).
-tan(x) became another integral. Then, I factored out tan(x) and I was left with tan(x)(1+tan^2(x))dx
U=tan x
Du= (1+tan²(x))d,

srpenguinbr
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Can I take u= sec(x) and du= sec(x)tan(x)dx ?

sajjadulbarishupto
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We can also use the reduction formula to help us however it can be verbose. it is also worth mentioning that this is also equivalent for restricted x values to 1/2(sec^2(x))-ln(|sec(x)|)

ArlieDaBunny
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Isn't the integral of tan(x)=-ln|cos(x)|+C?

chaticism
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i love your videos lol they are so fun

jrupp
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Thanks for the video, but I have to mention that the channel's name is very creative, I liked it

ziadlabib
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Can we instead let u = secx instead of tan ?

Kyle_da_athlete
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There is already a negative sign in front of integral tan x dx so negative and negative will be positive right?

rileshkhatri
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Int. Of tanx dx =Ln |Cosx| too in this example. Am I Right ?

HusseinAli-kktn
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why is it when you do the sin(x)/cos(x) method you get (1/2)sec^2(x) for the first part of your answer. I am referring to the answer your student got in the other video.

ScreamingEagle
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Why did you take 1/2 in the last step

sulakshanapatil
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sir why cannont we solve by taking log and the power down ?

anishr
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What is the answer, ,, when limits of same integral are 0 to π/2

kulbirkaur
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Suscribed. THANK YOU!
Is that ball some kind of 'on the fly' translating device prototype? -Or just your mic?

CofeeAuLait
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Integral of TANx = -ln(COSx), not -ln(SECx)

right?

MrFTW