The intensity of light with wavelength λ traveling through a diffraction grating with n slits at an angle θ is given by i(θ)=n^2 sin^2k/k^2, where k = (πnd sin θ)/λ and d is the distance between adjacent slits. a helium-neon laser with wavelength λ = 632.8 × 10^-9m 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) dθ emerging from the grating.