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int(2)/((2-x)^(2))root3((2-x)/(2+x))dx i...

`int(2)/((2-x)^(2))root3((2-x)/(2+x))dx` is equal to

A

`(4)/(3)((2+x)/(2-x))^(2//3)+C`

B

`(3)/(4)((2+x)/(2-x))^(2//3)+C`

C

`(3)/(4)((2-x)/(2+x))^(2//2)+C`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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VMC MODULES ENGLISH-INTEGRAL CALCULUS-1-LEVEL 2
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  2. The value of inte^x((x^3+x+1))/(1+x^2)^(3/2)dx is equal to (A) xe^x(1+...

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  3. int(2)/((2-x)^(2))root3((2-x)/(2+x))dx is equal to

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  4. int(root(3)(1+root(4)(x)))/(sqrtx)\ dx is equal to :

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  5. int\ (root(3)x)(root(5)(1+root(3)(x^4)))dx

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  6. int(x-x^5)^(1/5) / x^6 dx

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  7. int dx/(x(1+root(3)(x))^2) is equal to : (i)3log(x^(1/3)/(1+x^(1/3))+...

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  8. int(1)/(x^(1//2)(1+x^(2))^(5//4))dx is equal to

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  9. int((x-2)^3)/x^2dx=?

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  10. If f(x)=int(2+sqrt(x))/((x+1+sqrt(x))^2)dx and f(0)=0 then the valu...

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  11. If f(x)=int((5x^4+4x^5))/((x^5+x+1)^(2))dx and f(0)=0, then the value ...

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  12. For any natural number t,int(x^(3t)+x^(2t)+x^(t))(2x^(2t)+3x^(t)+6)^(1...

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  13. If l^(r )(x) means log log log … x, the log being repeated r times, th...

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  14. The value of inte^(secx)*sec^3x(sin^2x+cosx+sinx+sinxcosx)dx is

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  15. The value of int ((ax^(2)-b)dx)/(xsqrt(c^(2)x^(2)-(ax^(2)+b)^(2))) is ...

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  16. int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx is equal to (a) (sqrt(2x^4-2x^2+1...

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  17. int (x^4-1)/(x^2)sqrt(x^4+x^2+1) dx equal to (A) sqrt((x^4+x^2+1)/x) +...

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  18. Evaluate: (sin^3x dx)/((cos^4x+3cos^2x+1)tan^(-1)(secx+cosx)

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  19. integrate x^ x (1+logx)dx is equal to

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  20. Evaluate: int1/(xsqrt(1+x^3))\ dx

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