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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`

Text Solution

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PRADEEP PUBLICATION-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 integrals: int sqrt(x+x^2)dx

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  6. Evaluate the following integrals: int (x)sqrt(2x^2+3)dx

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

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

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

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

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

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

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

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  14. Evaluate the following integrals: underset(-1)overset(1)int(x+1)dx

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

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  16. Evaluate the definite integrals : underset(1)overset(2)int(4x^3-5x^2...

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  17. Evaluate the definite integrals : underset(0)overset(pi/4)intsin2x d...

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  18. Evaluate the following integrals. underset(0)overset(pi//2)int cos 2...

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  19. Evaluate the definite integrals : underset(4)overset(5)inte^xdx

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  20. Evaluate the following integrals: underset(0)overset(pi//4)int tan x ...

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