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If f(x)=int(x^8+4)/(x^4-2x^2+2)dxa n df(...

If `f(x)=int(x^8+4)/(x^4-2x^2+2)dxa n df(0)=0,t h e n` `f(x)` is an odd function `f(x)` has range `R` `f(x)` has at least one real root `f(x)` is a monotonic function.

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If f(x)=int(x^8+4)/(x^4-2x^2+2)dx and f(0)=0,t h e n (a) f(x) is an odd function (b) f(x) has range R (c) f(x) has at least one real root (d) f(x) is a monotonic function.

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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  3. If f(x)=int(x^8+4)/(x^4-2x^2+2)dxa n df(0)=0,t h e n f(x) is an odd f...

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  10. In an equilateral triangle show that the in-radius and the circum-radi...

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  11. If I1=int0^1(1+x^8)/(1+x^4)dxa n dI2=int0^1(1+x^9)/(1+x^3)dx ,"t h e ...

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  14. Let J=int (-1) ^(2) (cot ^(-1) ""(1)/(x )+ cot ^(-1) x ) dx, K =int (-...

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  15. If In=int0^(pi//4)tan^("n")x dx , prove that In+I(n-2)=1/(n+1)dot

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  19. If N=2^(n-1).(2^n-1) where 2^n-1 is a prime, then the sum of the all ...

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  20. The value of int0^(pi/4) (e^(1/(cos^2x)).sinx)/(cos^3 x)dx equals ...

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