Math Problem Statement
c. Prove that ∫_0^∞▒e^(-t√2) sint sinht dt=π/8
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Integral Calculus
Complex Numbers
Exponential Functions
Trigonometric Functions
Hyperbolic Functions
Formulas
∫ e^{at} dt = 1/a for a < 0
sin(t) = (e^{it} - e^{-it}) / 2i
sinh(t) = (e^t - e^{-t}) / 2
Theorems
Exponential Integral Theorem
Complex Exponentiation
Convergence of Improper Integrals
Suitable Grade Level
Undergraduate (Calculus Level)
Related Recommendation
Understanding the Integral of e^(-ax) sin(bx)/x using Arctangent Formula
Evaluate the Integral ∫₀^∞ e^(-3t) sin(2t) dt Using Laplace Transform
Numerical and Approximation Methods for Integral of e^-x^2/(x^2 + 1/2)^2
Integral of the Square Root of Tangent(x) Over x
Integral of t^x sech^2(t) from 0 to Infinity