Compute the area of the region bounded by thegraph of ƒ and the x-axis on the given interval. You may find it useful to sketch the region.Ƒ(x) =1/(x2 + 1) on [-1, √3]
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.
Compute the area of the region bounded by the
graph of ƒ and the x-axis on the given interval. You may find it useful to sketch the region.
Ƒ(x) =1/(x2 + 1) on [-1, √3]
Given function is,
To find area of the region bounded by the graph of ƒ and the x-axis on the given interval.
Use the formula:
Here
and
Substitute all the values in formula,
Step by step
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