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Application of Integration question

2009 · Shift 1 · Q28
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  5. /2009 · Shift 1 · Q28

Application of Integration question

2009 · Shift 1 · Q28

JEE AdvancedMathematicsApplication of IntegrationMultiple correct+4 / −2
Area of the region bounded by the curve y=exy = {e^x}y=ex and lines x=0x=0x=0 and y=ey=ey=e is
  1. A
    e−1e-1e−1
  2. B
    ∫1eln⁡(e+1−y)dy\int\limits_1^e {\ln \left( {e + 1 - y} \right)dy}1∫e​ln(e+1−y)dy
  3. C
    e−∫01exdxe - \int\limits_0^1 {{e^x}dx}e−0∫1​exdx
  4. D
    ∫1eln⁡y dy\int\limits_1^e {\ln y\,dy}1∫e​lnydy
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