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समाकलन करें int (xdx)/((x^(2)-a^(2))(x^...

समाकलन करें `int (xdx)/((x^(2)-a^(2))(x^(2)-b^(2)))dx.`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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TARGET PUBLICATION-INTEGRATION-COMPETITIVE THINKING
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  2. If int(1)/((x^(2)+4)(x^(2)+9))dx=A" tan"^(-1)(x)/(2)+Btan^(-1)((x)/(3)...

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  3. समाकलन करें int (xdx)/((x^(2)-a^(2))(x^(2)-b^(2)))dx.

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

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

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  7. int1/(x^(6)+x^(4))dx is equal to

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  8. int(dx)/(e^(2x)-3e^(x))=

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

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

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

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

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  14. If intf(x)/(logcosx)dx=-log(logcosx)+c, then f(x) is equal to

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

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

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  17. If intf(x)*cosxdx=1/2{f(x)}^2+c, then f(0)= (A) 1 (B) 0 (C) -1 (D) non...

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

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

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  20. If d/dx[f(x)]=xcosx+sinx " and " f(0)=2, then f(x)=

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