O-LevelAdditional MathematicsDifferentiation and integrationMay/June 2018Paper 1 Q1110 Marks
The diagram shows the graph of the curve y= (e^(4x)+3)/8. The curve meets the y-axis at the point A. The normal to the curve at A meets the x-axis at the point B. Find the area of the shaded region enclosed by the curve, the line AB and the line through B parallel to the y-axis. Give your answer in the form e/a, where a is a constant. You must show all your working.
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