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The value of the integral int(dx)/(x^(2...

The value of the integral `int(dx)/(x^(2)+4x+13)` is -

A

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

B

`log(x^(2)+4x+13)+c`

C

`(1)/(6)log|(x+5)/(x-1)|+c`

D

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

Text Solution

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The correct Answer is:
A
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 5
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  2. The value of the integral int(pi)^(10pi) |sinx|dx is equal to -

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  3. The value of the integral int(dx)/(x^(2)+4x+13) is -

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  4. The value of int(-(1)/(2))^((1)/(2)) cos x log((1-x)/(1+x))dx is -

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  5. The value of the integral int(0)^((pi)/(2))|sinx-cosx|dx is -

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  6. The value of int(0)^(3)(3x+1)/(x^(2)+9)dx is equal to -

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  7. The value of int e^(x)((2+sin2x)/(1+cos2x))dx is equal to -

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  8. The value of int(0)^(1) tan^(-1)((1)/(x^(2)-x+1))dx is equal to -

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  9. The value of int(a^((x)/(2)))/(sqrt(a^(-x)-a^(x)))dx is equal to -

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  10. The value of int(a)^(b)(x)/(|x|)dx, a lt b lt 0, is equal to -

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  11. If g(x)=(1)/(2) [f(x)-f(-x)] defined over -3 le x le 3 and f(x)=2x...

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  12. If I(n)=int(0)^((pi)/(4)) tan^(n)x dx, then the value of (I(8)+I(6)) ...

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  13. The value of lim(n to oo)sum(r=1)^(n)(1)/(n)e^((r)/(n)) is -

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  14. int(0)^(1) sqrt((1-x)/(1+x))dx is equal to -

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  15. If int(sinx dx)/( sin(x-a))=Ax+B log|sin(x-a)|+c, then the value of (A...

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  16. The value of int(-2)^(3) |1-x^(2)|dx is equal to -

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  17. If int(0)^(t^(2)) x f(x) dx=(2)/(5) t^(5) , t gt 0, then the value of...

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  18. If P=int(0)^(3pi)f(cos^(2)x) dx and Q=int(0)^(pi) f(cos^(2)x)dx, the...

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  19. The order and degree of differential equation (1+3(dy)/(dx))^((4)/(3)...

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  20. The solution of the differential equation (dy)/(dx)+P(x)y=0 is -

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