Area between curvesAQA A-Level Maths: Mind map

Exam questions on Area between curves

1. The curve $C$ has equation $y=x^2$ and the line $L$ has equation $y=2x$.
   Find the exact area of the region enclosed by $C$ and $L$.2 marks
2. The curve $C$ has equation $y=x^2+1$ and the line $L$ has equation $y=x+3$.
   Find the area of the region enclosed by $C$ and $L$.2 marks
3. The curve $C$ has equation $y=x^3$ and the line $L$ has equation $y=x$.
   Find the $x$-coordinates of the three points where $C$ and $L$ intersect.3 marks