Trigonometric Substitution Calculator

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

Definite
Indefinite

with respect to

Upper value

Lower value

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.

Frequently Asked Questions FAQ

What does the Trigonometric Substitution Calculator calculate?

The Trigonometric Substitution Calculator solves the mathematical calculation described by the tool and returns the result using the values entered in the calculator.

How do I use the Trigonometric Substitution Calculator?

Enter the required numbers, expressions, coordinates, or other inputs, then run the calculation. Make sure the notation and units match the fields provided.

Which formula or mathematical method does Trigonometric Substitution Calculator use?

The calculator follows the method represented by its formula: For √(a²−x²): x=a sinθ; for √(a²+x²): x=a tanθ; for √(x²−a²): x=a secθ.

How can I verify a Trigonometric Substitution Calculator result?

You can verify the result by substituting the answer back into the original relationship, checking a simple known example, or performing the calculation with an independent method.

Why can the result change when I change the inputs?

The output depends directly on the supplied values and assumptions. Changing an input changes the mathematical relationship being evaluated, so a different result is expected.

Have Feedback or a Suggestion?

How was this page? Share your feedback with us

;