Question

what is integration??

Answer 1

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.

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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.