Question

what is integration​

Answer 1

Answer:

Integration occurs when separate people or things are brought together, like the integration of students from all of the district's elementary schools at the new middle school, or the integration of snowboarding on all ski slopes. You may know the word differentiate, meaning "set apart." Integrate is its opposite.

Answer 2

Integration:

This is one of the important chapter in Mathematics.

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Integration formula:

⇢ ∫ xⁿ dx = xⁿ⁺¹ + c

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Here n is a rational number and c is constant of integration.ㅤ

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Suppose the question is like Integrate ∫ (x² + 1/x² + 1) dx.

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Required answer:

⇢ ∫ (x² + 1/x² + 1) dx

⇢ ∫ (x² + x⁻² + 1) dx

⇢ ∫ x² dx + ∫ x⁻² dx + ∫ dx

⇢ x²⁺¹ /(2 + 1) + x⁻²⁺¹ /(- 2 + 1) + x + c.

⇢ x³/3 + x⁻¹/(- 1) + x + c

⇢ x³/3 - 1/x + x + c

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Hence, this is the required integral.