Evaluate the Riemann sum for f ( x ) = 0.4 x − 1.7 sin ( 2 x ) over the interval [ 0 , 2 ] using four subintervals, taking the sample points to be midpoints. M 4 =
step by step solution is needed. answer to 6 decimal place.
The given function is
We have to evaluate the Riemann sum over the interval [0,2] using four subintervals i.e. n = 4.
The subintervals starting at 0 by successively adding 0.5 are
The midpoints of the subintervals are
Hence, the Riemann sum is
Hence,
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