Free Online Trigonometric Substitution
Suggest a trig sub for √(a²−x²), √(a²+x²), or √(x²−a²). Everything runs in your browser so your files and text stay on this device.
Substitution
x = a sin θ
- Differential
- dx = a cos θ dθ
- Radical becomes
- √(a² − x²) = a cos θ
- Antiderivative
- arcsin(x/a) + C
- Definite value
- 0.5235987756
Integrates 1/√(form) or √(form) for the three standard radical forms.
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Tasks
Run the calculation
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How to use
- Open the tool.
- Fill in the fields.
- Read the result (updates as you type).
FAQ
What does Trigonometric Substitution do?
Suggest a trig sub for √(a²−x²), √(a²+x²), or √(x²−a²).
How do I run the calculation?
Enter the inputs and read the result card.
How do I use Trigonometric Substitution?
Open the tool. Fill in the fields. Read the result (updates as you type).
Is my data private?
Yes. Work stays in your browser. Content is not sent to a server to run the tool.