2. Evaluate the integral by interpreting it in terms of areas. Hint: sketch the region indicated by the integrand and limits of integration. You may also want to consider the fact that the integral of a sum is the sum of the integrals provided they exist. (a) (2т — 1) da (b) x² + 3)dx
Riemann Sum
Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus.
Riemann Integral
Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.
Evaluate the integral by interpreting it in terms of areas. Hint: sketch the region indicated by the
integrand and limits of
the sum of the integrals provided they exist.
(this is not graded)
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