Integration Formulas For Trig Substitution

This calculus video explains how to use special integration formulas to solve trig substitution problems. Examples include finding the integral of sqrt(25-4x^2) and the integral of sqrt(16x^2+9).

Integration Into Inverse Trig:

Integration of Rational Functions:

Integral of Logarithmic Functions:

Integrating Exponential Functions:

Integration Formulas:

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Integration By Tables:

Reduction Formulas - Integration:

Center of Mass & Moments:

Center of Mass & Centroid Problems:

Hydrostatic Force Problems:

Probability Density Functions:

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Normal Distributions - Calculus:

Homogeneous Differential Equations:

1st Order Linear Differential Equations:

Bernoulli's Equation for Differential Equations:

Slope Fields:

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Converging & Diverging Sequences:

Monotonic & Bounded Sequences:

Calculus Final Exam and Video Playlists:

Full-Length Videos and Worksheets:

[juanpicasso]

This needs more views you can do these problems so much faster

[mosesmbinza]

can you solve these problems without formulas please, where are the formulas derived from?

[georgesadler]

Professor Organic Chemistry Tutor, thank you for an exceptional video/lecture on Integration Formulas for Trig Substitution in Calculus Two. The example problems in this video, can be solved directly by Trigonometric Substitution, however using Integration Formulas/Tables, Trig Substitution is so much easier to compute from start to finish. This is an error free video/lecture on YouTube TV with the Organic Chemistry Tutor.

[CJAzuraPaulin]

Great Video!!😊How about for tan and sec?.Im sure the formula is different...

[nemorulz]

Ofc you wouldn’t plug the values in the the formula using the same exact values. Why on earth would you do something so nonsensical

[jeff]

What about if we encounter integral of sqrt of u^2 - a^2 du