Question: The integral Si(x) = . sin t -dt, called the sine-integral function, has important applications in optics. t sin t (a) Plot the integrand

The integral Si(x) = . sin t -dt, called the sine-integral function,

The integral Si(x) = . sin t -dt, called the sine-integral function, has important applications in optics. t sin t (a) Plot the integrand for t > 0. Is the sine-integral function everywhere increasing or decreasing? Does Si(x) = 0 for x>0? Check the answers by graphing the t function Si(x) for 0 x 25. (b) Explore the convergence of 0 (a) Choose the correct graph of O A. sin t -dt. If it converges, what is its value? t sint t for t> 0 below. O B. Use the window [1, 25] by [-0.5, 1] Xscl = 5, Yacl = 0.2. O C. O D.

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