find the area bounded by y=|e^x-1| of x axis in the interval [-1,1]
lokesh palingi , 12 Years ago
Grade 12
Integral Calculus> find the area bounded by y=|e^x-1| of x a...
1 Answers
bharat bajaj
y=|e^x-1|
Check when e^x - 1 is positive and negative,
So, y= -(e^x - 1) -1<x<0
y= +(e^x - 1) 0<x<1
Now integrate,
Integral(-1 to 0) of -(e^x - 1) = +1/e
Integral(0 to 1) of(e^x - 1) = e
Area bounded = e + 1/e
Check when e^x - 1 is positive and negative,
So, y= -(e^x - 1) -1<x<0
y= +(e^x - 1) 0<x<1
Now integrate,
Integral(-1 to 0) of -(e^x - 1) = +1/e
Integral(0 to 1) of(e^x - 1) = e
Area bounded = e + 1/e
Thanks & Regards
Bharat Bajaj
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IIT Delhi
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