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C3 - Stuck on how to integrate this

I've managed to do the rest of this question but I'm stuck on how to get the last part of the question and was hoping if someone could explain this to me because the mark scheme didn't really help.

Also...

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could someone explain to me how to find the range in the first part because they got f(x)<=3 but I got the sign the opposite way around and also how would you go about doing the last part of this question.

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Reply 1

Dancatpro

Ok, the area between the curve and x axis you already have.

Then the normal, the x axis and y the axis form a triangle, I am sure you can work out the area of the triangle!

1/2 x base (B's x co-ordinate) x height (y intercept of the normal).

Then add the value for the curve's integration and the triangle's area and you should have the correct answer!

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C3 - Stuck on how to integrate this

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