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Mathematical Methods Β· Unit 3 Β· Introduction to integration Β· Anti-differentiation

Understand and use the formulas ∫(𝑓(π‘₯) + 𝑔(π‘₯))𝑑π‘₯ = ∫ 𝑓(π‘₯)𝑑π‘₯ + ∫ 𝑔(π‘₯) 𝑑π‘₯ and ∫ π‘˜ 𝑓(π‘₯)𝑑π‘₯ = π‘˜ ∫ 𝑓(π‘₯)𝑑π‘₯.

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Question 1

Determine $$\int (3x^2 + 5\sqrt{x} - 2) \, dx$$

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Question 2

Determine the following integral. $$\int (3x^2 + 5x - 2) \, dx$$

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