Sketch the region lying in the first quadrant and bounded by y=9x^ | Filo
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Class 12

Math

Calculus

Application of Integrals

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Sketch the region lying in the first quadrant and bounded by , , and . Find the area of the region, using integration.

Solution:

Here, is a upward parabola having its vertex at the origin and are the lines which are parallel to axis at to unit distance from it
Similarly has even power of and is symmetrical about
So the required area is written as

Required area

                         

                         

                         

                         

                          sq. units.
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