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Evaluate the following integrals : int...

Evaluate the following integrals :
`int( cosx-cos alpha)/("cos"x/2+"cos"(alpha)/2`dx

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The correct Answer is:
`2(2"sin"x/2-x"cos"(alpha)/2)+C`
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BETTER CHOICE PUBLICATION-INTEGRALS-PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. int(0)^(pi//2)(sqrt(cosx)/(sqrt(sinx)+sqrt(cosx)))dx is equal to

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  2. Evaluate : int (dx)/(x^2-6x+13).

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  3. Evaluate the following integrals : int( cosx-cos alpha)/("cos"x/2+"c...

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  4. Evaluate the following integrals : int 1/(sqrt(x+2)-sqrt(x+3))dx

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  5. Evaluate the following integrals : int1/(sqrt(x+3)-sqrt(x+2))dx

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  6. Evaluate the following integrals : int(cos2x)/((cosx+sinx)^(2))dx

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  7. Evaluate the following integrals : int(xtan^(-1)x)/((1+x^(2))^(3//2)...

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  8. Evaluate the following integrals : int (xsin^(-1)x)/(sqrt(1-x^(2)) dx

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  9. Evaluate the following integrals : intlog(1-x)^(2)dx

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  10. Evaluate the following integrals : intdx/((sqrt(x+a) + sqrt(x+b))

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  11. Evaluate the following integrals : int(sinx)/(sin3x)dx

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

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

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  14. Evaluate the following integrals : int(dx)/(1-sinx+cosx)

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  15. Evaluate the following integrals : intcos^(4)x.dx

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  16. Evaluate the following integrals : int(sinxdx)/sin(x-a)

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  17. Evaluate the following integrals : int(0)^(pi//2)(2logcosx-logsin 2x...

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

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  19. Evaluate the following as limit of sum int(1)^(3)2^(x)dx

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  20. Evaluate int((cosx-sinx)dx)/(1+sin2x)

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