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

Use the notation ∫ 𝑓(𝑥) 𝑑𝑥 for anti-derivatives or indefinite integrals.

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Question 1

Determine $\int \frac{5}{4x} \, dx$

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Question 2

Determine \(\int \frac{5}{3x} \, dx\).

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Question 3

Find the indefinite integral ∫(4x³ − 6x + 5) dx and verify your answer by differentiation.

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Question 4

Determine ∫(6x² + 4/x - 3e^x) dx

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Question 5

Determine $$\int (4x^3 - 6x + 5) \, dx$$

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More in Anti-differentiation

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Use the formulas ∫ sin (𝑥) 𝑑𝑥 = − cos(𝑥) + 𝑐 and ∫ cos(𝑥) 𝑑𝑥 = sin (𝑥) + 𝑐.
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