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Show that int(0)^(a)f(x)g(x)dx=2int(0)^(...

Show that `int_(0)^(a)f(x)g(x)dx=2int_(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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The correct Answer is:
`:. I=2 overset(a) underset(0)int f(x)dx`
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KUMAR PRAKASHAN-INTEGRALS -EXERCISE 7.11
  1. By using the properties of definite integrals evaluate the integrals i...

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  2. By using the properties of definite integrals evaluate the integrals i...

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  3. By using the properties of definite integrals evaluate the integrals i...

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  4. By using the properties of definite integrals evaluate the integrals i...

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  5. By using the properties of definite integrals evaluate the integrals i...

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  6. By using the properties of definite integrals evaluate the integrals i...

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  7. By using the properties of definite integrals evaluate the integrals i...

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  8. By using the properties of definite integrals, evaluate the integrals ...

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  9. By using the properties of definite integrals evaluate the integrals i...

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  10. By using the properties of definite integrals, evaluate the integrals ...

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  11. By using the properties of definite integrals, evaluate the integrals ...

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  12. By using the properties of definite integrals, evaluate the integrals ...

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  13. By using the properties of definite integrals, evaluate the integrals ...

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  14. By using the properties of definite integrals, evaluate the integrals ...

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  15. By using the properties of definite integrals, evaluate the integrals ...

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  16. By using the properties of definite integrals evaluate the integrals i...

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  17. By using the properties of definite integrals, evaluate the integrals ...

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  18. Show that int(0)^(a)f(x)g(x)dx=2int(0)^(a)f(x)dx, if f and g are defin...

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  19. Choose the correct answer The value of int((-pi)/2)^(pi/2)(x^(3)+xco...

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  20. Choose the correct answer The value of int(0)^(pi/2)log((4+3sinx)/(4...

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