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1.9.20 Integrate kx^n

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Question 13
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

1.9.20 Integrate kx^n Questions

  1. A Level
  2. /Maths
  3. /1.9.20 Integrate kx^n

80 exam-style questions on OCR (MEI) A Level Maths 1.9.20 Integrate kx^n. Each one has a worked solution and a mark scheme showing where the marks go.

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