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int(0)^(1) ((1-x^(2))dx)/(x^(4)+x^(2)+1)...

`int_(0)^(1) ((1-x^(2))dx)/(x^(4)+x^(2)+1)=`

A

`- 1/2 ln 3`

B

`1/2 ln 3`

C

`ln 3`

D

`2 ln 3`

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-DEFINITE INTEGRALS-EXERCISE - II
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  4. If k int(0)^(1) x f (3 x) dx = int(0)^(3) t f(t) dt then k=

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  5. If (d)/(dx) f(x) = g(x) then int(a)^(b) f(x) g(x) dx=

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  6. Let (d)/(dx) f(x) = (e^(sin x))/(x) , x gt 0. If int(1)^(4) 3/x e^(s...

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  7. Let f(x) be a function satisfying f'(x)=f(x) with f(0)=1andg(x) be a f...

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  11. If int(e)^(x) t f(t)dt= sin x - x cos x - (x^(2))/(2) for all x in R -...

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  12. If int(0)^(b-c) f(x+c) dx = k int(b)^(c) f (x) dx then k=

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  13. If f is every where continuous function then 1/c int(ac)^(bc) f(x/c) d...

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  14. If int(0)^(pi) f(tan x) dx= lambda then int(0)^(2pi) f(tan x) dx=

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  15. int(0)^(2) (2x-2)/(2x-x^(2))dx=

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  19. int(0)^(pi//2) ln (tan x+ cot x)dx=

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  20. Evaluate the integral underset(0)overset(1)int (log(1+x))/(1+x^(2))d...

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