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Calculate the area bounded by y = lnx from 0 to 1.

Calculate the area bounded by
y = lnx from 0 to 1.

Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
9 years ago
Ans:
Hello Student,
Please find answer to your question below

f(x) = lnx
Area ‘A’:
A = |\int_{0}^{1}lnxdx|
Use ILATE rule
A = |\int_{0}^{1}x^{0}lnxdx|
A = |(xlnx-x)_{0}^{1}|
A = |(1ln1-1)-0|
A = |-1|
A = 1

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