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Show that int0^a f(x)g(x)dx = 2 int0^a f...

Show that `int_0^a f(x)g(x)dx = 2 int_0^a f(x)dx`, if f and g are defined as `f(x) = f(a-x)` and `g(x) + g(a-x) = 4`

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MODERN PUBLICATION-INTEGRALS-EXERCISE
  1. Show that int0^a f(x)g(x)dx = 2 int0^a f(x)dx, if f and g are defined ...

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  2. For the following (1-4) different results,Write the corresponding inte...

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  3. For the following (1-4) different results,Write the corresponding inte...

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  4. For the following (1-4) different results,Write the corresponding inte...

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  5. For the following (1-4) different results,Write the corresponding inte...

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  6. For the following (1-4) different results,Write the corresponding inte...

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  7. For the following (1-4) different results,Write the corresponding inte...

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  8. For the following (5-7) different results,Write the corresponding inte...

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  9. For the following (5-7) different results,Write the corresponding inte...

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  10. For the following (5-7) different results,Write the corresponding inte...

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  11. Find an anti derivative (or integral) of the following functions by th...

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  12. Write an anti derivative for each of the following functions using the...

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  13. Find an anti derivative (or integral) of the following functions by th...

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  14. Find an anti derivative (or integral) of the following functions by th...

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  15. write down the integrals of the following (9-15) : x^4+x^-5

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  16. write down the integrals of the following (9-15) : 1/x*x !=0

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  17. write down the integrals of the following (9-15) : x+1/x*x !=0

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  18. Find the following integrals: int (x^(2/3) +1)dx

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  19. write down the integrals of the following (9-15) : (3/sqrtx+5x^4) .

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  20. write down the integrals of the following (9-15) : cos2x

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  21. Find the following integrals: int (sinx+cosx)dx

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