Question: Evaluate the integral - integral^1_-1 1/4 (2 cos theta + 5 cos 3 theta) cos theta d theta using Simpson's method and dividing the whole

Evaluate the integral - integral^1_-1 1/4 (2 cos theta + 5 cos 3 theta) cos theta d theta using Simpson's method and dividing the whole interval into eight subintervals. Consider the following first-order ODE: dy/dt = y + t^3 from x = 0.5 to x = 2 with y(0) = -1 solve the equation with Euler's explicit method using h = 0.5

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