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int(dx)/(x(x^2+1)equal(A) log|x|-1/2log(...

`int(dx)/(x(x^2+1)`equal(A) `log|x|-1/2log(x^2+1)+C` (B) `log|x|+1/2log(x^2+1)+C`(C) `-log|x|+1/2log(x^2+1)+C`(D) `1/2log|x|+log(x^2+1)+C`

A

`log|x|-1/2 log (x^2+1)+c`

B

`1/2 log|x|+1/2 log (x^2+1)+c`

C

`-log|x|+1/2 log(x^2+1)+c`

D

`log|x|+log (x^2+1)+c`

Text Solution

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The correct Answer is:
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MODERN PUBLICATION-INTEGRALS-MULTIPLE CHOICE QUESTION
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  2. int(x dx)/((x-1)(x-2)equal(A) log|((x-1)^2)/(x-2)|+C (B) log|((x-2)^2...

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  3. int(dx)/(x(x^2+1)equal(A) log|x|-1/2log(x^2+1)+C (B) log|x|+1/2log(x^...

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  4. Choose the correct answer intx^2e^x^3dx equals (A) 1/3e^x^3+C (B) ...

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  5. inte^(x)secx(1+tanx)dx=?

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  6. Choose the correct answer intsqrt(a+x^2)dx is equal to (A) x/2sqrt(...

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  7. int sqrt(x^2-8x+7) is equal to

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  8. int1^(sqrt(3))1/(1+x^2)dx is equal to pi/(12) b. pi/4 c. pi/6 d. pi/3

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  9. int0^(2//3) (dx)/(4x+9x^2) equals:

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  10. The value of the integral overset(1)underset(1//3)int((x-x^(3))^(1//...

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  11. If f(x) = int (0)^(x) t sin t d t, then f'(x) is

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  12. The value of int(-pi//2)^(pi//2) \ (x^3 + x cos x + tan^5 x + 1)dx is ...

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  13. The value of int0^(pi//2) log ((4+3 sin x)/(4+3 cos x)) dx is:

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  14. Choose the correct answersint(dx)/(e^x+e^(-x))is equal to(A) tan^(-1)(...

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  15. The value of int(cos2x)/(sinx+cosx)^(2) dx is equal to

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  16. If f(a+b-x)=f(x), then inta^b x f(x)dx is equal to (A) (a-b)/2inta^b f...

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  17. inte^x(cosx-sinx)dx is equal to

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  18. int\ (dx)/(sin^(2)x*cos^(2)x) is equal to

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  19. Ifint(3e^x-5e^(-1))/(4e^x+5e^(-x))dx=a x+bln(4e^x+5e^(-x))+C ,t h e n ...

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  20. int tan^-1 sqrtx dx is equal to:

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