Each of the following can be evaluated using at least two substitutions. For each integral shown, determine both possible substitutions and rewrite the integral according to the sub- stitution.
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.
Given data:
The expression for the first function is .
Assume sinx=t and differentiate it with respect to x.
Substitute the above-calculated value in the given expression.
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