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Integrate the following functions w.r.t ...

Integrate the following functions w.r.t x
`(x^(4)-5x^(3)+3x)/(x^(2))`

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AI Generated Solution

To solve the integral of the function \((x^{4}-5x^{3}+3x)/(x^{2})\) with respect to \(x\), we can follow these steps: ### Step-by-Step Solution: 1. **Simplify the Function**: We start by simplifying the integrand: \[ \frac{x^{4} - 5x^{3} + 3x}{x^{2}} = \frac{x^{4}}{x^{2}} - \frac{5x^{3}}{x^{2}} + \frac{3x}{x^{2}} = x^{2} - 5x + \frac{3}{x} ...
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ICSE-VECTORS SCALARS ELEMENTARY CALCULUS -UNSOLVED PROBLEMS
  1. Integrate the following functions w.r.t x (x^(4)-5x^(3)+3x)/(x^(2))

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  2. Differentiate the following w.r.t x 2020

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  3. Differentiate the following w.r.t x pi^(2)

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  4. Differentiate the following w.r.t x pie

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  5. Differentiate the following w.r.t x e^(-5)

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  6. Differentiate the following w.r.t x 16x^(8)

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  7. Differentiate the following w.r.t x x^(-4)

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  8. Differentiate the following w.r.t x x^(5//2)

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  9. Differentiate the following w.r.t x 4x^(3)-10 -6x^(2)

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  10. Differentiate the following w.r.t x x^(2) +3x +3/x

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  11. Differentiate the following w.r.t x tan(3x+1)

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  12. Differentiate the following w.r.t x cos 3x

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  13. Differentiate the following w.r.t x sqrt(sinx)

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  14. Differentiate the following w.r.t x 3x^(2)+12x - 11//x

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  15. Differentiate the following w.r.t x tan x+2 sin + 3 cos x - 1/2 lo...

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  16. Differentiate w.r.t x using product rule . (5x+2) (4-3x)

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  17. Differentiate w.r.t x using product rule . sqrt(x). sec x

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  18. Differentiate w.r.t x using product rule . (ax^(2)+bx+c)(x-d)

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  19. Differentiate w.r.t x using product rule . x^(3) sin x

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  20. Differentiate w.r.t x using product rule . x sin x log x

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  21. Differentiate w.r.t x using product rule . (1+ 2 tan x) ( 5+4 cos x)

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