what is integration
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integration is the computation of a definite intrgral, a fundamental concept of calculus, which allows, many other users, computing areas and avreaging continuous functions. integration involves finding the integral of a function with respect to x which means finding the area to the x axis from the curve.
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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.
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