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If (dy)/(dx) =2x^(2) - 3 at any point (...

If `(dy)/(dx) =2x^(2) - 3 ` at any point (x,y) on a curve , find the equation of the family of curves .

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The correct Answer is:
`y = 2/3 x^(3) - 3x + c`
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CHHAYA PUBLICATION-IDENFINITE INTEGRAL -Very short Answer Type Questions
  1. Integrate each of the following functions w.r.t . X : 1/(sqrt(x)) (...

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  2. Evaluate : int e^(3 log x)dx

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  3. Evaluate : int ((e^(5x)-2e^(3x)+3))/(e^(x)) dx

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  4. Evaluate : int (e^(5x)+e^(3x))/(e^(x)+e^(-x)) dx

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  5. Evaluate : int (e^(2logx)- 2e^(-3 log x) ) dx

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  6. Evaluate : int e^(-4x) dx

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  7. Integrate : int 5^(2x)dx

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  8. Integrate : int(x^(4)+4^(x))dx

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  9. Integrate : int ( e^(x log a ) + e^(a logx)) dx

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  10. Evaluate the following integrals : int sin^(2) 2x dx

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  11. Evaluate the following integrals : int (2 tan x )/(1+ tan ^(2) x )...

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  12. Evaluate the following integrals : int (2tan x)/(1+ tan^(2) dx

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  13. Evaluate the following integrals : int sec x ( sec x + tan x ) dx

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  14. Evaluate the following integrals : int " cosec " x ( " cosec " x -...

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  15. Evaluate the following integrals : int cot^(2) theta d theta

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  16. Evaluate the following integrals : int cos^(2) theta d theta

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  17. Evaluate the following integrals : int (1+tan^(2)x)/(1+cot^(2) x ...

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  18. Evaluate the following integrals : int (sec x + 2 cot ^(2) x + cos...

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  19. Evaluate the following integrals : int (sec^(2) x ) /("cosec"^(2) ...

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  20. If (dy)/(dx) =2x^(2) - 3 at any point (x,y) on a curve , find the equ...

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