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int(1)/(x^(2)+4x+13)dx is equal to...

`int(1)/(x^(2)+4x+13)dx` is equal to

A

idex `""^(2) +4x+13) +c `

B

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

C

log `2x2x+4)+`

D

`-(2x+4)/((x^(2)+4x+13)^(2))+c `

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IPUCET PREVIOUS YEAR PAPERS-GGSIPU MATHEMATICS 2008-MCQs
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  2. The general solution of y^(2)dx+(x^(2)-xy+y^(2))dy=0, is

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  3. int(0)^(pi//4)(cosx-sinx)dx+int(pi//4)^(5pi//4)(sinx-cosx)dx+int(2pi)^...

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  4. Out of 40 consecutive integers, two are chosen at random, the probabil...

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  5. Equations of tangents to the ellipse x^2/9+y^2/4=1 which are perpendic...

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  6. IF |veca|=sqrt(3), |vecb|=2 and |veca-vecb|=3 find the angle between v...

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  7. The solution of the equation (d^(2)y)/(dx^(2))= e^(-2x) is

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  8. The length of the chord of the parabola x^(2) = 4 y passing through th...

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  9. The records of a hospital show that 10% of the cases of a certain dise...

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  10. From the point P(16,7), tangents PQ and PR are drawn to the circle x^2...

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  11. If alpha,beta are roots of the equation lx^(2) + mx + n = 0,then the ...

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  12. [ (1)/(2) 1] [ 2,1,-1] is equal to

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  13. lim(xrarroo)((2x-3)(4x-5))/((5x-6)(6x-7)) is equal to

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  14. Function f(x) {{:(x+1,xlt2),(2x-2,xgt=2):} is a continuous function

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  15. Differential coefficient of sqrt(sec (x)) is

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  16. The function x^(5)-5x^(4)+5x^(3)-1 is

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  17. If x= y sqrt( 1-y^(2)) ,then (dy)/(dx)

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  18. The ratio in which the line joinng (2,4,5),(3,5,-4) is divided by the ...

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  19. The value of int0^1 (x^4+1)/(x^2+1)dx is

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  20. The solution of the differential equation dy/dx=y tanx-2 sinx is

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