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Evaluate the definite integrals int(0)...

Evaluate the definite integrals
`int_(0)^(1)(2x+3)/(5x^(2)+1)dx`

Text Solution

Verified by Experts

The correct Answer is:
`3log2+(3pi)/8`
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NCERT TAMIL-INTEGRALS-EXERCISE 7.9
  1. Evaluate the definite integrals int(1)^(2)(4x^(3)-5x^(2)+6x+9)dx

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  2. Evaluate the definite integrals int(0)^(pi/4)sin2xdx

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  3. Evaluate the definite integrals int(0)^(pi/2)cos2xdx

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  4. Evaluate the definite integrals int(4)^(5)e^(x)dx

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  5. Evaluate the definite integrals int(0)^(pi/4)tanxdx

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  6. Evaluate the definite integrals int(pi/6)^(pi/4)cosecxdx

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  7. Evaluate the definite integrals int(0)^(1)(dx)/(sqrt(1+x^(2)))

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  8. Evaluate the definite integrals int(0)^(1)(dx)/(sqrt(1+x^(2)))

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  9. Evaluate the definite integrals int(2)^(3)(dx)/(x^(2)-1)

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  10. Evaluate the definite integrals int(0)^(pi/2)cos^(2)xdx

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  11. Evaluate the definite integrals int(2)^(3)(xdx)/(x^(2)+1)

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  12. Evaluate the definite integrals int(0)^(1)(2x+3)/(5x^(2)+1)dx

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  13. Evaluate the definite integrals int(0)^(1)xe^(x^(2))dx

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  14. Evaluate the definite integrals int(1)^(2)(5x^(2))/(x^(2)+4x+3)

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  15. Evaluate the definite integral int(0)^((pi)/(4))(2sec^(2)x+x^(3)+2)d...

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  16. Evaluate the definite integrals int(0)^(pi)(sin^(2)x/2-cos^(2)x/2)dx

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  17. Evaluate the definite integrals int(0)^(1)(2x+3)/(5x^(2)+1)dx

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  18. Evaluate the definite integral int(0)^(1)(xe^(x)+"sin"(pix)/(4))dx

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  19. int(1)^(sqrt(3))(dx)/( 1+x^(2)) is

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  20. Choose the correct answer int(0)^(2/3)(dx)/(4+9x^(2)) equals

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