15.3.2 - Fourier Sine Transform (FST)
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Practice Questions
Test your understanding with targeted questions
What is the mathematical expression for the Fourier Sine Transform?
💡 Hint: Recall the integration limits for the sine-transform.
What type of functions does the Fourier Sine Transform primarily work with?
💡 Hint: Consider what 'piecewise' means in terms of function behavior.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the definition of the Fourier Sine Transform?
💡 Hint: Focus on the function's behavior in relation to sine.
Is the Fourier Sine Transform useful only for periodic functions?
💡 Hint: Consider the definition's focus on non-periodic functions.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Using the Fourier Sine Transform, compute the transformed integral for f(x) = x over the interval [0,∞].
💡 Hint: Consider using integration by parts, where u = x and dv = sin(ωx) dx.
Given a function f(x) = e^(-ax) for x >= 0, compute its Fourier Sine Transform.
💡 Hint: The integral can be solved using a standard table of integrals or through integration by parts.
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