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

Evaluate the integral -integral_-1^1 1/4 (2 cos theta + 5 cos 3 theta)^2 cos theta d theta using Simpson's method and dividing the whole interval into eight subintervals

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