![]() There some general guidelines for when to use trigonometric substitution. ![]() Replace the expression with the corresponding trigonometric function and determine the value of θ.Ĭheck the solution to see if it the most simplified form possible. Choose the appropriate trigonometric function based on the expression. Identify the expression that can substituted with a trigonometric function. When making a trigonometric substitution, it important to remember the following steps: Where a is a constant, x is the variable being integrated, and θ is the angle whose cosecant is equal to x/a. Where a is a constant, x is the variable being integrated, and θ is the angle whose secant is equal to x/a. Where a is a constant, x is the variable being integrated, and θ is the angle whose tangent is equal to x/a. Where a is a constant, x is the variable being integrated, and θ is the angle whose cosine is equal to x/a. ![]() Where a is a constant, x is the variable being integrated, and θ is the angle whose sine is equal to x/a.
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