1.08b Integrate x^n: where n != -1 and sums

453 questions

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SPS SPS SM Pure 2023 June Q1
3 marks Easy -1.8
Find $$\int (x^4 - 6x^2 + 7) dx$$ giving your answer in simplest form. [3]
SPS SPS FM Pure 2024 January Q3
4 marks Moderate -0.5
Find the value of the integral: $$\int_0^1 \frac{x^{\frac{1}{2}} + x^{-\frac{1}{3}}}{x} \, dx$$ [4]
Pre-U Pre-U 9794/2 2010 June Q1
3 marks Easy -1.8
Find the exact value of $$\int_1^4 \left(10x^2 - 3x^2\right) dx.$$ [3]