The intensity of light with wavelength λtraveling through a diffraction grating with N slits at an angle θis given by I(θ)=N^2 sin^2 k / k^2, where k=(πN d sinθ) / λand d is the distance between adjacent slits. A helium-neon laser with wavelength λ=632.8 ×10^-9  m is emitting a narrow band of light, given by -10^-6<θ<10^-6, through a grating with 10,000 slits spaced 10^-4  m apart. Use the Midpoint Rule with n=10 to estimate the total light intensity ∫-10^-6^10^-6 I(θ) d θemerging from the grati
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