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Evaluate : int4^9 1/(sqrt(x))dx...

Evaluate : `int_4^9 1/(sqrt(x))dx`

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`int_4^9 1/(sqrt(x))dx`
=`int_4^9(sqrt(x)^(-1/2))dx`
`=[x^(-1/2+1)/(-1/2+1)]_4^9`
`=[2sqrt(x)]_4^9`
`=2[3−2]=2`
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RD SHARMA-DEFINITE INTEGRALS-Solved Examples And Exercises
  1. Evaluate: int1^3 1/(x^2(x+1))dx

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  2. Evaluate: int1^3 1/(x^2(x+1))dx

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  3. Evaluate : int4^9 1/(sqrt(x))dx

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  4. Evaluate the following definite integral: int(2)^3 1/(x+7)dx

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  5. Evaluate the following definite integral: int0^(1//2)1/(sqrt(1-x^2))dx

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  6. Evaluate the following definite integral: int0^1 1/(1+x^2)dx

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  7. Evaluate the following definite integral: int2^3x/(x^2+1)dx

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  8. Evaluate : int0^oo1/(a^2+b^2x^2)dx

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  9. Evaluate the following definite integral: int(-1)^(1)1/(1+x^2)dx

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  10. Evaluate the following definite integrals: int0^ooe^(-x)dx

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  11. Evaluate the following definite integral: int0^1x/(x+1)dx

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  12. Evaluate the following definite integral: int0^(pi//2)(sinx+cos x)dx

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  13. Evaluate the following definite integral: int(pi//4)^(pi//2)cotx\ dx

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  14. Evaluate the following definite integral: int0^(pi//4)s e c\ x\ dx

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  15. Evaluate the following definite integral: int(pi//6)^(pi//4)cos e c\ x...

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  16. Evaluate : int0^pi1/(1+sinx)dx

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  17. Evaluate the definite integrals int0^(pi/2)cos^2x""""dx

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  18. Evaluate the following definite integral: int0^(pi//6)cosxcos2x\ dx

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  19. Evaluate : int(pi/3)^(pi/4)(tanx+cotx)^2dx

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  20. Evaluate the following definite integral int0^(pi/2) cos^4 x dx

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