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

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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MODERN PUBLICATION-INTEGRALS-MULTIPLE CHOICE QUESTION
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  2. int(dx)/(sqrt(9x-4x^2))equals(A) 1/9sin^(-1)((9x-8)/8)+C (B) 1/2sin^(...

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  3. 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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  4. 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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  5. Choose the correct answer intx^2e^x^3dx equals (A) 1/3e^x^3+C (B) ...

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

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

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

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

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

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

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

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

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

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

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

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

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  20. 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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