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Find the following integrals: ∫(1-x)xdx - Mathematics

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Question

Find the following integrals:

`int(1 - x) sqrtx dx`

Sum

Solution

`int (1 - x) sqrtx  dx`

`I = int (x^(1/2) - x^(3/2))` dx

`I= int x^(1/2)  dx - int x^(3/2)` dx

`I= 2/3  x^(3/2) - 2/5  x^(5/2) + 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 14 | Page 299

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