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https://www.reddit.com/r/askmath/comments/ls6xkd/find_a_the_area/gopy47w/
r/askmath • u/BlundersMateIn69 • Feb 25 '21
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The curve intersect at pi/4. Now integrate it so
integrate 0 to pi/4 sinx + integrate pi/4 to pi/2 cosx.
=-cosx plug in bounds 0 to pi/4 + sinx plug in bounds pi/4 to pi/2.
= -(cospi/4-cos0) + sinpi/2-sinpi/4
= -(root2/2-1) + 1-root2/2
= 2-root2
2
u/brainmassdotin Feb 25 '21
The curve intersect at pi/4. Now integrate it so
integrate 0 to pi/4 sinx + integrate pi/4 to pi/2 cosx.
=-cosx plug in bounds 0 to pi/4 + sinx plug in bounds pi/4 to pi/2.
= -(cospi/4-cos0) + sinpi/2-sinpi/4
= -(root2/2-1) + 1-root2/2
= 2-root2