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intsqrt((x)/(a^(3)-x^(3))) dx is equal t...

`intsqrt((x)/(a^(3)-x^(3)))` dx is equal to

A

`(2)/(3)cos^(-1)((x^(2)//3)/(a^(2)//3))+c`

B

`(2)/(3)sin^(-1)((x^(2)//3)/(a^(2)//3))+c`

C

`(2)/(3)tan^(-1)((x^(2)//3)/(a^(2)//3))+c`

D

`(2)/(3)sin^(-1)((x^(2)//3)/(a^(2)//3))+c`

Text Solution

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The correct Answer is:
D
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 22 -Mathematics
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  5. These is an objective type question with 4 answer choices exactly one ...

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  6. int (cos 2x-1)/(cos 2x+1)dx is equal to

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  8. What is the value of (d+a).[axx{bxx(cxxd)}]?

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  9. Let Tr be the r^(th) term of an A.P whose first term is a and common d...

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  10. Let X=[{:(x(1)),(x(2)),(x(3)):}],A=[{:(1,-1,2),(2,0,1),(3,2,1):}] and ...

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  12. A line passes through the point (2,2) and is perpendicular to the lin...

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  13. The angle of intersection between the curves x^(2) = 4(y +1) and x^(2)...

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  14. If the sum of first n natural numbers is (1)/(78) times the sum of the...

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  16. The feasible for the following constraints L(1) le 0, L(2) ge 0, L(3)=...

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  17. The value of lim(x to 1) (x^(7)-2x^(5)+1)/(x^(3)-3x^(2)+2) is

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  19. The derivative of f(x) =int(x^2)^(x^3)1/(loge(t))dt,(x>0), is

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  20. In a certain twon, 25% families own a cell phone, 15% families own a s...

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