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JEE Main 2014 Mathematics question

MathematicsArea Under CurveJEE Main 2014

The area of the region (in square units) above the x-axis bounded by the curve , and the tangent to the curve at is

Answer: (1)

Solution

At , and the slope is , so the tangent is , meeting the x-axis at . The required area is the

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Question ID VK-104699