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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