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Choose the correct answer: int sqrt(1+x^...

Choose the correct answer: `int sqrt(1+x^2) dx` is equal to:

A

`x/2sqrt(1+x^2)+1/2log|(x+sqrt(1+x^2))|+C`

B

`2/3(1+x^2)^(3/2)+C`

C

`2/3x(1+x^2)^(3/2)+C`

D

`x^2/2sqrt(1+x^2)+1/2x^2log|(x+sqrt(1+x^2))|+C`

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PSEB-INTEGRALS-Exercise
  1. Integrate the function: sqrt(x^2+3x)

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  2. Integrate the function: sqrt(1+x^2/9)

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  3. Choose the correct answer: int sqrt(1+x^2) dx is equal to:

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  4. Choose the correct answer: int sqrt(x^2-8x+7) dx is equal to:

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  5. Evaluate the following definite integral as limit of sum : inta^b xdx

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  6. Evaluate the following definite integral as limit of sum : int0^5 (x+1...

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  7. Evaluate the following definite integral as limit of sum : int2^3 (x^2...

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  8. Evaluate the following definite integral as limit of sum : int1^4 (x^2...

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  9. Evaluate the following definite integral as limit of sum : int(-1)^1 (...

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  10. Evaluate the following definite integral as limit of sum : int0^4 (x+e...

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  11. Evaluate the definite integral: int-1^1(x+1)dx

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  12. Evaluate the definite integral: int2^3(1/x)dx

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  13. Evaluate the definite integral: int1^2(4x^3-5x^2+6x+9)dx

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  14. Evaluate the definite integral: int0^(pi/4)(sin 2x)dx

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  15. Evaluate the definite integral: int0^(pi/2)(cos 2x)dx

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  16. Evaluate the definite integral: int4^5(e^x)dx

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  17. Evaluate the definite integral: int0^(pi/4)(tanx)dx

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  18. Evaluate the definite integral: int(pi/6)^(pi/4)(cosecx)dx

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  19. Evaluate the definite integral: int0^1((xdx)/(1+x))

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  20. Evaluate the definite integral: int2^3(dx/(x^2-1))

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