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Integrate the functions: cosxx

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Question

Integrate the functions:

`cos sqrt(x)/sqrtx`

Sum
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Solution

Let I = `int (cos sqrtx)/sqrtx` dx

Put `sqrt x = t` 

`1/(2 sqrt x)` dx = dt or  `1/sqrt x` dx = 2 dt

Hence, `I = 2 int cos t dt`

`= 2 sin t + C = 2 sin sqrt x + C`

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Chapter 7: Integrals - Exercise 7.2 [Page 305]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 7 Integrals
Exercise 7.2 | Q 26 | Page 305

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