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int dx/((2+x)sqrt(1+x) =...

`int dx/((2+x)sqrt(1+x)` =

A

`2 tan^-1 sqrt(1+x)` + c

B

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

C

`tan^-1 sqrt1+x` + c

D

`log{(2+x)sqrt1+x` + c

Text Solution

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The correct Answer is:
A
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PATHFINDER-INDEFINITE INTEGRATION-QUESTION BANK
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  6. If In = int sin^n x dx then nIn - (n - 1)I(n-2) = f(x)+c where f(x) =

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  7. Plot the function f(x)= max{x, x^2, x^3}

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  8. If int dx/(x^4 + x^3) is equal to logabs(x/(x+1)) + 1/x + k/x^2 + c

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  13. if int (e^(6logx) - e^(4logx))/(e^(3logx)-e^(2logx)) dx = phi(x), then...

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  14. If int dx/(x^6 + x^4) = tan^-1x + 1/x + k/x^3 + c, then value of k is

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  17. If int dx/((x+1)^3 + (x+1)^2) is k[t - t^2/2 + t^3/3 - Inabst ] +c wh...

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