Calculus II For Dummies by Mark Zegarelli

Author:Mark Zegarelli
Language: eng
Format: epub, mobi, pdf
Publisher: Wiley
Published: 2011-12-20T16:00:00+00:00

Figure 7-2: A trig substitution triangle for the tangent case.

2. Identify the separate pieces of the integral (including dx) that you need to express in terms of .

In this case, the function contains two separate pieces that contain x:

3. Express these pieces in terms of trig functions of .

In the tangent case, all trig functions should be initially expressed as tangents and secants.

To represent the rational portion as a trig function of θ, build a fraction using the radical as the numerator and the constant 2 as the denominator. Then set this fraction equal to the appropriate trig function:

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