Integrate the following w.r.t. x : 3sec2x-4x+1xx-7 - Mathematics and Statistics

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Sum

Integrate the following w.r.t. x : `3 sec^2x - 4/x + 1/(xsqrt(x)) - 7`

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Solution

`int (3 sec^2 x - 4/x + 1/(xsqrt(x)) - 7)dx`

= `3int sec^2x  dx - 4 int 1/x dx +  intx ^(-(3)/(2)) dx - 7 int 1 dx`

= `3 tan x - 4 log |x| + (x - 3/2 + 1)/(-3/2 + 1) - 7x + c`

= `3tan x - 4 log |x| - 2/sqrt(x) - 7x + c`

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Chapter 3: Indefinite Integration - Exercise 3.1 [Page 102]

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