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Find the following integrals: ∫x3+5x2 -4x2dx - Mathematics

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Question

Find the following integrals:

`int (x^3 + 5x^2   -4)/x^2 dx`

Sum

Solution

Let I = `int (x^3 + 5x^2 - 4)/x^2` dx

`I = int (x + 5 - 4x^(-2))` dx

`I = int x dx + 5 int 1  dx - 4 int x^-2 dx`

`I = x^2/2 + 5x + 4/x + C`

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Chapter 7: Integrals - Exercise 7.1 [Page 299]

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NCERT Mathematics [English] Class 12
Chapter 7 Integrals
Exercise 7.1 | Q 11 | Page 299

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