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1.11 H: Integration

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Question 185
a.

Find ∫(9x2−4x) dx\int \left( 9x^2 - \frac{4}{\sqrt{x}} \right) \, dx ∫(9x2−x​4​)dx

[3]
b.

The gradient of a curve is given by

dydx=9x2−4x \frac{dy}{dx} = 9x^2 - \frac{4}{\sqrt{x}} dxdy​=9x2−x​4​

The curve passes through the point (9,2140)(9, 2140)(9,2140).

Find the equation of the curve.

[3]
Markscheme

1.11 H: Integration Questions

  1. A Level
  2. /Maths
  3. /1.11 H: Integration

480 exam-style questions on AQA A Level Maths 1.11 H: Integration, covering 1.11.1 Fundamental Theorem of Calculus, 1.11.2 Integrating standard functions, 1.11.3 Definite integrals and areas, 1.11.4 Integration as the limit of a sum (A-level only), 1.11.5 Integration by substitution and by parts (A-level only), 1.11.6 Integration using partial fractions (A-level only), 1.11.7 Differential equations with separable variables (A-level only), and 1.11.8 Interpreting solutions of differential equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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