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

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Indefinite

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Lower value

Apply 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

Check the function, variable and any domain or bounds before calculating. Differentiation and integration results depend on the expression and conditions supplied, so an algebraically valid result still needs to match the original problem.

Check the result by differentiating or integrating the displayed expression as appropriate and confirm the required domain or bounds.

Frequently Asked Questions FAQ

What does Trigonometric Substitution Calculator calculate?

Choose the substitution that matches the radical form, then rewrite dx and simplify using trigonometric identities.

What is the formula for Trigonometric Substitution Calculator?

The formula used by the calculator is: For √(a²−x²): x=a sinθ; for √(a²+x²): x=a tanθ; for √(x²−a²): x=a secθ

What inputs does Trigonometric Substitution Calculator need?

Enter the integrand and substitution variables needed to replace the trigonometric expression.

How can I verify the Trigonometric Substitution Calculator result?

Check the result by differentiating or integrating the displayed expression as appropriate and confirm the required domain or bounds.

How should I round the Trigonometric Substitution Calculator result?

Keep exact values such as fractions or radicals when useful, and round only the final numerical result when a decimal answer is required.

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