Convert Trigonometric Substitution
Choose the substitution that matches the radical form, then rewrite dx and simplify using trigonometric identities.
Formula: For √(a²−x²): x=a sinθ; for √(a²+x²): x=a tanθ; for √(x²−a²): x=a secθ
Enter the expression exactly as intended and pay attention to the variable, interval, and any domain restrictions. These details can change the mathematical result.
For a manual check, differentiate an antiderivative, substitute a point, or compare a simple case with the defining equation.