Trig Subsitution for Integrals | An Easier Way To Set Up Trig Subs

A better way to do a trig substitution to integrate with a square root of (x^2 + a^2). Learn how to set up triangles as an easier way to integrate with a trig substitution instead of using the trig substitution formulas to integrate. Trig subs with the form x^2 + a^2 are easier using this trig sub method.

▶ *Watch*
Calc 2 Playlist:

⏰ *Time Stamps*
0:00 Set Up Triangle for x^3sqrt(1+4x^2)
1:09 Find Trig Subs for Integral of x^3sqrt(1+4x^2)
5:42 Evaluate Trig Integral
6:06 u-Sub for Trig Integral
10:51 Convert antiderivative back to theta
11:33 Convert antiderivative back to x

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[dominiricanpa]

awesome explanation. thank you! 1 question though, shouldnt the last step be 1+4x^2 under the square root?