Consider the following integrals (a) Lodt-L6(z Le 6(x + 1) dx = 64 6t5 dt =...

 

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Consider the following integrals (a) Loºdt-L6(z Le 6(x + 1) dx = 64 6t5 dt = (b) S (c) sin(t)dt = sin(x + 1)da ≈ 1.416147 sin(t) t sin((x + 1)/2) x + 1 (³ -dt = [* ≈ 0.9460831 -1/2 [ 12 cerp (= (x + 1)²) dr 8 (d) (25)-1/2 cxp (*) dt dt = (2π)-¹/2 2 4-1. Show that the two integrals are equivalent. 4-2. Find G₂(f), G3(f) and G4(f) respectively. 4-3. Use a computer to find the values in 4-2. Consider the following integrals (a) Loºdt-L6(z Le 6(x + 1) dx = 64 6t5 dt = (b) S (c) sin(t)dt = sin(x + 1)da ≈ 1.416147 sin(t) t sin((x + 1)/2) x + 1 (³ -dt = [* ≈ 0.9460831 -1/2 [ 12 cerp (= (x + 1)²) dr 8 (d) (25)-1/2 cxp (*) dt dt = (2π)-¹/2 2 4-1. Show that the two integrals are equivalent. 4-2. Find G₂(f), G3(f) and G4(f) respectively. 4-3. Use a computer to find the values in 4-2.