Question

what is integration​

Answer 1

Answer:

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Step-by-step explanation:

In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data. Integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other.

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.

Integrate ∫ (x² + 1/x² + 1) dx. ㅤ

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.