EduNinja

IB Maths AA SL 5.10 Indefinite integration

IB Maths AA SL 5.10 Indefinite integration
IB Mathematics: analysis and approaches guide, first assessment 2021

Practise reversing differentiation to recover functions, displacement models and series forms using constants and initial values.

How this is tested

  • integrate g'(x) or dy/dx, include +C, then use a given point such as g(0)=7 to find the function
  • use identities or series first, then integrate terms such as cos 2x or powers of x
  • apply an antiderivative to motion, forming displacement or distance equations before solving for a time

Question 2

[Maximum number: 5]

The gradient of a curve is given by dy dx=4cos⁡x−sin⁡x\frac{\mathrm{d} y}{\mathrm{~d} x}=4 \cos x-\sin x. The curve passes through the point (π,3)(\pi, 3). Find the equation of the curve.