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int(dx)/(x^2+2x+2)equals(A) xtan^(-1)(x+...

`int(dx)/(x^2+2x+2)`equals(A) `xtan^(-1)(x+1)+C` (B) `tan^(-1)(x+1)+C`(C) `(x+1)tan^(-1)x+C` (D) `tan^(-1)x+C`

A

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

B

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

C

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

D

`tan^-1 x+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(e^(x)(1+x))/(cos^(2)(e^(x)x))dx equal to

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  3. int(dx)/(x^2+2x+2)equals(A) xtan^(-1)(x+1)+C (B) tan^(-1)(x+1)+C(C) (...

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  4. int(dx)/(sqrt(9x-4x^2))equals(A) 1/9sin^(-1)((9x-8)/8)+C (B) 1/2sin^(...

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  5. 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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  6. 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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  7. Choose the correct answer intx^2e^x^3dx equals (A) 1/3e^x^3+C (B) ...

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

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

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

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

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

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

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

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

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

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

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

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