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If int(1)/((x^(2)+4)(x^(2)+9))dx=A" tan"...

If `int(1)/((x^(2)+4)(x^(2)+9))dx=A" tan"^(-1)(x)/(2)+Btan^(-1)((x)/(3))+C`, then A-B=

A

`1/6`

B

`1/30`

C

`-1/30`

D

`-1/6`

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The correct Answer is:
A
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TARGET PUBLICATION-INTEGRATION-COMPETITIVE THINKING
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  5. If : int(2x^(2)+3)/((x^(2)-1)(x^(2)-4))dx=log[((x-2)/(x+))^(a).((x+1)/...

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  6. If : int(2x^(2)+3)/((x^(2)-1)(x^(2)-4))dx=log[((x-2)/(x+))^(a).((x+1)/...

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  7. int(5x^(2)+3)/(x^(2)(x^(2)-2))dx=

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  10. If int(x)/((x^(2)+1)(x-1))dx =Alogabs(x^(2)+1)+Btan^(-1)x+Clogabs(x-...

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  11. int(2x+3)/((x-1)(x^2+1))dx =loge{(x-1)^(5/2)(x^2+1)^a-1/2 tan^-1 x+C,x...

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  12. int(d x)/(x(x^4+1))=

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  13. int(dx)/(x^(3)+3x^(2)+2x)=

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  14. int(dx)/(sinx+sin2x) का मान ज्ञात कीजिए ।

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  16. If int(f(x))/(log(sinx))dx=log[log sinx]+c, then f(x) is equal to

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  17. If intf(x)cosxdx=1/2[f(x)]^(2)+c," then " f(pi/2) is

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  19. If f'(x)=2-5/x^(4) " and " f(1)=14/3, " then " f(-1)=

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  20. If intf(x)sinxcosxdx=(1)/(2(b^(2)-a^(2)))log{f(x)}+C then f(x) is equ...

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