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Evaluate each of the following integral:...

Evaluate each of the following integral: `int_a^b(f(x))/(f(x)+f(a+b-x))dx`

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To evaluate the integral \[ I = \int_a^b \frac{f(x)}{f(x) + f(a+b-x)} \, dx, \] we can use a property of definite integrals. Let's follow the steps: ...
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RD SHARMA-DEFINITE INTEGRALS-Solved Examples And Exercises
  1. Evaluate the following integrals: (1-35) int0^(pi//2)(sin^n x)/(sin...

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  2. Evaluate each of the following integral: int(-pi//2)^(pi//2)log((a-sin...

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  3. Evaluate each of the following integral: inta^b(f(x))/(f(x)+f(a+b-x))d...

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  4. Evaluate each of the following integral: int0^2sqrt(4-x^2)dx

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  5. Evaluate each of the following integral: int0^1x\ e^x^2dx

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  6. Evaluate each of the following integral: inte^(e^2)1/(xlogx)dx

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  7. Evaluate each of the following integral: inte^(pi//2)e^x(sinx-cos x)dx

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  8. Evaluate each of the following integral: int2^4x/(x^2+1)dx

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  9. If int0^1(3x^2+2x+k)dx=0, find the value of kdot

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  10. If int0^a3x^2dx=8,\ write the value of ' a^(prime)dot

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  11. If (x)=int0^x tsint\ dt ,\ then write the value of f^(prime)(x)

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  12. If int0^a1/(4+x^2)dx=pi/8 , find the value of adot

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  13. The value of int-2^2 (ax^3+bx+c)dx depends on (A) the value of b (B) t...

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  14. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

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  15. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

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  16. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

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  17. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

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  18. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

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  19. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

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  20. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

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