These 2 Integral Hacks Saved Me MINUTES ⏰

In this video, you'll learn how to quickly solve this definite integral in just a few minutes by using 2 nifty shortcuts: u substitution, and a tip for evaluating definite integrals! On your ap calc bc exam, your time is valuable and so it's super important to recognize calculus shortcuts so that you aren't spending too much time on these problems! Calculus II will be a lot more understandable when you watch my videos, and be sure to subscribe to learn more tips and tricks along with avoiding common mistakes!

[@NumberNinjaDave]

Did you solve this faster than I did? Share your method BELOW 👇

[@woomygfx]

Another really useful trick for solving integrals is definitely kings rule, and by far my favourite is feynmans trick.
Kings rule basically consists of the following:
the integral from a to b of f(x) dx = the integral from a to b of f(a+b-x) dx
And feynamns trick (more commonly found in harder questions):
the derivative with respect to u of an integral with respect to x = the integral with respect to x of the partial derivative with respect to u
-> in other words, you can interchange the integral and derivative sign if you are deriving with a different variable as to which you are integrating. (This is just notation but remember to change the derivative to a partial derivative when you bring it inside the integral)

[@NumberNinjaDave]

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