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Evaluate int0^(pi/2) (cosx)/((2+sinx)(3+...

Evaluate `int_0^(pi/2) (cosx)/((2+sinx)(3+sinx) ) dx`

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The correct Answer is:
`"log"9/8`
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BETTER CHOICE PUBLICATION-INTEGRALS-PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. Evaluate the following integrals : int 1/(cos^(2)x+2sin^(2)x)dx

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  2. Evaluate the following integrals : int 1/(sin^(2)x+4cos^(2)x)dx

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  3. Evaluate int0^(pi/2) (cosx)/((2+sinx)(3+sinx) ) dx

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  4. Evaluate int0^(pi/2) (cosx)/((3+sinx)(4+sinx) ) dx

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  5. Evaluate the following integrals : int(0)^(pi//2)(cosx)/((4+sinx)(5+...

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  6. Evaluate the following integrals : int(0)^(pi//2)(2sinx+3cosx)/(sinx...

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  7. Using properties of definite integrals, show that int(0)^(pi//2)(xdx...

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  8. Using properties of definite integrals, show that int(0)^(pi//2)(sin...

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  9. Prove that : int0^pi (xtanx)/(secxcosecx)dx =pi^2/4.

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  10. Evaluate: int(5x)/((x+1)(x^(2)-4))dx

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  11. Evaluate the following integrals : intsin^(2)x cos^(2)x dx

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  12. Evaluate the following integrals : int (sin^(3)x)/(cosx)dx

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  13. Evaluate the following integrals : int (cos^(3)x)/(sinx)dx

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  14. Evaluate the following integrals : int (dx)/(e^(x)+3e^(-x))

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  15. Evaluate the following integrals : int 1/(sqrt(x^(2)-6x+16))dx

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  16. Evaluate,int sqrt(((2-x)/(2+x)) .dx

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  17. Evaluate the following integrals : int sqrt((3-x)/(3+x))dx

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  18. Evaluate : int log (1+x^2)dx.

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  19. Evaluate, int log(2+x^2) dx.

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  20. Evaluate , int log(4+x^2) dx.

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