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int (log (x+sqrt(1+x^2))/(sqrt(1+x^2))) ...

`int (log (x+sqrt(1+x^2))/(sqrt(1+x^2))) dx`

A

`[log (x+sqrt(1+x^(2)))]^(2)+c`

B

`x log (x+sqrt(1+x^(2)))+c`

C

`(1)/(2) log (x+sqrt(1+x^(2))+c`

D

`(1)/(2) [log (x+sqrt(1+x^(2)))]^(2)+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 20-PAPER 2 (Mathematics)
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  2. The equation of a line passing through the point (-3 ,2 ,-4) and equal...

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

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  4. The solution of tan^(-1)2theta + tan^(-1)3theta = pi/4 is

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  5. The set of values of theta satisfying the inequatioin 2sin^(2)theta-5s...

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  6. The most general value of theta which satisfy both the equation cos th...

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  7. If in a DeltaABC,a=6cm,b=8cmandc=10cm, then the value of sin 2A is

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  8. The any DeltaABC under usual notation ,a(bcos C-c cosB) is equal to

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  9. The area bounded by the hyperbola x^(2)-y^(2)=4 between the lines x=2 ...

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  10. The value of the integral int(0)^(pi//2)log |tanx| dx is

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  11. Find the point on the line (x+2)/3=(y+1)/2=(z-3)/2 at a distance of 3s...

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  12. The value of int(-pi//2)^(pi//2) log""((2-sintheta)/(2+sintheta))d the...

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  13. The equation of the line bisecting perpendicularly the semgent joining...

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  14. 14. A line passes through the point of intersection of the lines 100x ...

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  15. If A, B and C are three sets such that A nn B = A nn C and AuuB = A uu...

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  16. Let R={(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation the set ...

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  17. A man saves Rs. 200 in each of the first three months of his service. ...

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  18. If I(1)=int(0)^(pi//2) x sin x dx and I(2) = int(0)^(pi//2) x cos x d...

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  19. lim(x to 1 ) (log ex)^(1//logx) is equal to

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  20. The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greate...

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