integration by parts, calculus 2, AP calculus BC

0:00 Welcome to Just Calculus
0:13 Q1: Integral of sqrt(x)*ln(x)
4:17 Q2: Integral of x*cos(3x)
7:58 Q3: Integral of (2x-3)*e^(4x)
8:52 I forgot to multiply by 1/4 Thanks to Chris for pointing out
10:26 Q4: Integral of sin^-1(x)
14:25 Q5: Integral of x*sec^2(x)

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[MohaAfif]

Thank you my favourite calculus teacher ❤

[ViniciusTeixeira]

15:42 the integral of tanx is actually -ln|cosx|, not ln|secx| :)

EDIT: I'm stupid and just realised they're the same thing

[rohitraghavan]

Hello @ Black Pen Red Pen
Bhaiya (Sir) I have a doubt
In my school I was taught integration by parts in a different way
The formula goes this way
∫uv dx = u∫vdx - ∫ (du.∫v dx) dx
But your formula is quite different
Can u explain to me if there is any difference b/w the above formula & formula used in video??!!

[joshjones]

When you integrate sin(3x), would you not multiply it by the inside instead of dividing it? Considering when you use the derivative you do 1/3, would you do the opposite since your taking the anti-derivative? @7:50?