Find the Riemann Sum for $$ f(x)=\cos (x) \cdot \cos (2 x)+2 $$ in $$ x \epsilon[-10,10] $$ (unit of x is radians). Exact solution is $$ \mathrm{A}=39.12663501441301 $$. Hand-calculate the area under the curve using 10 rectangles and mid-point method.

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Munoz Fuentes · Accepted Answer

To find the Riemann Sum for $$ f(x)=\cos (x) \cdot \cos (2 x)+2 $$ over $$[-10,10]$$ with 10 rectangles, divide the interval into 10 subintervals of width 2. Find the midpoints, evaluate the function at these points, and sum the products of the function values and the width of the rectangles.

Find the Riemann Sum for \( f(x)=\cos (x) \cdot \cos (2 x)+2 \) in \( x \epsilon[-10,10] \) (unit of x is radians). Exact solution is \( \mathrm{A}=39.12663501441301 \). Hand-calculate the area under the curve using 10 rectangles and mid-point method.

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Find the Riemann Sum for \( f(x)=\cos (x) \cdot \cos (2 x)+2 \) in \( x \epsilon[-10,10] \) (unit of x is radians). Exact solution is \( \mathrm{A}=39.12663501441301 \). Hand-calculate the area under the curve using 10 rectangles and mid-point method.

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