Here’s how:

- For , let and use the identity
- For , let and use the identity
- For , let and use the identity

Here’s an example of tangent substitution (click here):

From here simply cancel, integrate and substitute back

Here’s an example of sine substitution (click here):

Here’s an example of secant substitution (click here):

We covered almost all there is to know about substitution. In the next post we will cover inverse trigonometric functions.

Cheers,

Michal

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ReplyDeletecan u find integral of this:

ReplyDeletesin(a+3x)-3sin(a+2x)+3sin(a+x)-sina

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8sin^3(x/2)

i cant find it on integral calculator

Thanks, my friend. Yes you covered almost about trigonometric substitution. But if you proved standard substitution then it will be a great blog.

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