QCEVault

Further integration — Question 129

Original QCE Vault practice · 4 marks

Q129 · Practice questionTechnology-freeComplex familiar4 marks

QUESTION 129 (4 marks)

The line y=3xy=3x and the parabola y=x2+2y=x^2+2 enclose a bounded region. Determine its area.
Question linkSyllabus coverage

Related questions

  1. Q6 · Original practice · 1 mark
    Evaluate ∫023x2 dx\displaystyle\int_0^2 3x^2\,dx.
    Further integration
  2. Q16 · Original practice · 1 mark
    An antiderivative of 2xx2+5\dfrac{2x}{x^2+5} is
    Further integration
  3. Q31 · Original practice · 3 marks
    Evaluate ∫014xx2+1 dx\displaystyle\int_0^1\frac{4x}{x^2+1}\,dx.
    Further integration
  4. Q41 · Original practice · 3 marks
    For 0≤x≤10\le x\le1, the graph y=kx(1−x)y=kx(1-x) lies above the xx-axis. The area between the graph and the xx-axis is 2 square units. Determine kk.
    Further integration