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Question

What is the area bounded by y=tanx, y=0 and x=π4?

A
ln2 square units
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B
ln23 square units
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C
2(ln2) square units
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D
None of the above
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Solution

The correct option is A ln2 square units
The required area is,
π40tanxdx

=[lncosx]π40

=ln(12)+ln(1)

=ln2


680737_630153_ans_fb73e2094c694b1d8487f4606deb0dd3.png

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