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If int log(sqrt(1-x)+sqrt(1+x))dx=xf(x)+...

If `int log(sqrt(1-x)+sqrt(1+x))dx=xf(x)+Ax+Bsin^(-1)x+C`, then

A

`f(x)=log(sqrt(1-x)+sqrt(1+x))`

B

`A=1//3`

C

`B=2//3`

D

`B=-1//2`

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The correct Answer is:
a
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OBJECTIVE RD SHARMA-INDEFINITE INTEGRALS-Chapter Test
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  10. int(xcosx+1)/(sqrt(2x^(3)e^(sinx)+x^(2)))dx

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  11. int(x^(3))/((1+x^(2))^(1//3))dx is equal to

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  12. int sinx/sin(x-alpha)dx=Ax+B log (sin(x-alpha))+C then find out A & B

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

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  14. int(x-1)/((x+1)sqrt(x^(3)+x^(2)+x))dx is equal to

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

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  16. int(1+x^(4))/((1-x^(4))^(3//2))dx is equal to

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  17. If int(1)/(x^(3)+x^(4))dx=(A)/(x^(2))+(B)/(x)+log|(x)/(x+1)|+C , then

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  18. Let f(x)=int(1)/((1+x^(2))^(3//2))dx and f(0)=0 then f(1)=

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  20. int(1)/((a^(2)+x^(2))^(3//2))dx is equal to

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