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intsinx d (cosx) is equal to...

`intsinx d (cosx)` is equal to

A

`(1)/(4)sin2x+(x)/(2)+c`

B

`(1)/(4)sin2x-(x)/(2)+c`

C

`2sin2x+c`

D

`sinx+cosx+c`

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AAKASH INSTITUTE ENGLISH-INTEGRALS-Objective Type Questions (Only one answer)
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  2. int(2x^(2)+3)/((x^(2)-1)(x^(2)+4))dx=alog((x+1)/(x-1))+b"tan"^(-1)(x)/...

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  6. "If " int sqrt("cosec"x+1)dx=k fog(x)+c, " where " k is a real consta...

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  7. int{1+tanx*tan(x+A)}dx=cotA*ln|f(x)|+C then f(x) equal to

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  8. The value if int(x^(2)-1)/((x^(2)+1)(sqrt(x^(4)+1)))dx equal to (1)/(s...

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  9. If intf(x)cos x dx = 1/2 f^(2)(x)+C, then f(x) can be

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  10. Evaluate: int(x^2-1)/((x^4+3x^2+1)tan^(-1)(x+1/x))dx

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  11. If the value of lim(n->oo){1/(n+1)+1/(n+2)+.......+1/(6n)} is 'K' th...

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  12. If [] and { } represents greatest integar function and fractional func...

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  14. The solution for x of the equation int(sqrt(2))^x(dt)/(tsqrt(t^2-1))=p...

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  15. Evaluate: int1^oo (e^(x+1)+e^(3-x))^(-1)dx

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  17. If for a real number y ,[y] is the greatest integral function less, th...

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  18. Let y=(x-[x])^([x]) where [x] is greatest integar function, then int(0...

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  19. Evaluate (int(0)^(n)[x]dx)/(int(0)^(n){x}dx) (where [x] and {x} are in...

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  20. If f(x)={(e^cosx sinx ,, |x| leq 2),(2 ,, other wise):}. Then int-2^...

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