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Evaluate: intsqrt(x^2+2x+5) \ dx...

Evaluate: `intsqrt(x^2+2x+5) \ dx`

A

`((x+1)/(2))sqrt(x^(2)+2x+5)+2log|x+1+sqrt(x^(2)+2x+5)|+C`

B

`((x+1)/(2))sqrt(x^(2)+2x+5)+C`

C

`log|x+1+sqrt(x^(2)+2x+5)|+C`

D

`(x^(2)+2x+5)^((3)/(2))+C`

Text Solution

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AAKASH INSTITUTE ENGLISH-INTEGRALS-Competition level Questions
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  2. If intf(x)dx=xcospix+C, then f((1)/(2))=

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  3. Evaluate: intsqrt(x^2+2x+5) \ dx

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  4. Evaluate the following integral: int0^(pi//2)(sqrt(cotx))/(sqrt(cotx\ ...

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  5. T h ev a l u eofint0^(pi/2)(dx)/(1+tan^3x)i s 0 (b) 1 (c) pi/2 (d...

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  6. The value of int2^3(sqrt(x))/(sqrt(5-x)+sqrt(x))dx is

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  7. The value of int(0)^(a)(dx)/(x+sqrt((a^(2)-x^(2))) is equal to

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  8. int(0)^(pi//2n)(dx)/(1+(tan nx)^(n)) is equal to n in N :

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  9. The value of int(0)^(pi//2)(asinx+bcosx)/(sinx+cosx)dx is equal to

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  10. int(cos2x)/((sinx+cosx)^(2))dx is equal to

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  11. int(-1)^(1)x^(17)cos^(4) x dx is equal to

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  12. int (pi//4)^(pi//2) "cosec"^(2)xdx is equal to

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  13. The integral int(-1/2)^(1/2) ([x]+1n((1+x)/(1-x)))dx is equal to (wher...

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  14. Let f : R -> R and g : R -> R be continuous functions. Then the value...

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  15. The value of int(0)^(pi//2)logsinxdx is equal to

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

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  17. The value of int(0)^(2//3)(dx)/(4+9x^(2)) is equal to

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  18. The value of int(log1//2)^(log2)sin{(e^(x)-1)/(e^(x)+1)}dx is equal to

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  19. int0^1 sqrt((1-x)/(1+x)) dx

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  20. The value of int(0)^(pi//2)(cosxdx)/(1+cosx+sinx) is equal to

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