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int((1+x)sinx)/((x^(2)+2x)cos^(2)x-(1+x)...

`int((1+x)sinx)/((x^(2)+2x)cos^(2)x-(1+x)sin 2x)dx`

A

`(1)/(2)log_(e)|(sinx-(x+1)cosx-1)/(sinx-(x+1)cosx+1)|+C`

B

`(1)/(2)tan^(-1){sinx-(x+1)cosx}+C`

C

`(1)/(2)sin^(-1){sinx-(x+1)cosx}+C`

D

`(1)/(2)sin^(-1)(cosx+sinx)+C`

Text Solution

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The correct Answer is:
A
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MOCK TEST 5-MCQS
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  2. int(2-a)^(2+a)f(x)dxi se q u a lto[w h e r ef(2-alpha)=f(2+alpha)AAalp...

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  3. int((1+x)sinx)/((x^(2)+2x)cos^(2)x-(1+x)sin 2x)dx

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  4. int(xcosx+1)/(sqrt(2x^(3)e^(sinx)+x^(2)))dx

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  5. in [0,1] , lagrange mean value theorem is NOT applicable to

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  6. The point in the interval (0,2pi) where f(X) =e^(x) sinx has maximum s...

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  7. If f(x)=|x|, then f'(x), where x ne0 is equal to

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  8. If y=tan^(-1)sqrt(((1+sinx)/(1-sinx))),(pi)/(2)ltxltpi, then (dy)/(dx)...

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  9. The function f(x)=|x-1|+|x-2| is

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  10. If x=2cost-cos2t ,y=2sint-sin2t ,"f i n d"(d^2y)/(dx^2)"a t"t=pi/2dot

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  11. Anil wants to invest at the most Rs.12000 in bonds. A and B. According...

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  12. ~(p harr q) is a

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  13. Three numbers are chosen from 1 to 20. Find the probability that they ...

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  14. The chance of defective screws in three boxes A ,B ,Ca r e1//5,1//6,1/...

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  15. Find the perpendicular distasnce of the point (1,0,0) from the lines (...

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  16. The equation of the plane through (3,1,-3) and (1,-2,2) are parallel t...

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  17. The projection of the line segment joining (2,5,6) and (3,2,7) on the ...

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  18. If the sum of the slopes of the lines given by 4x^2+2lambdaxy-7y^2=4 i...

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  19. A plane passes through the point (1,-2,3) and is parallel to the plane...

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  20. let a,b, and c be three unit vectors such that a is perpendicular to t...

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