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Check whether the equation is quadratic ...

Check whether the equation is quadratic equation: `(x-1) (x-5)=(x-1)(x-3)`

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Verified by Experts

The correct Answer is:
B
`f(x)` is an odd function. Thus, `f(x)=-f(-x)`
`phi(-x)=int_(0)^(-x)f(t)dt`
Put `t=-y`
`:. phi(-x)=int_(-a)^(x)f(-t)(-dt)`
`=int_(-a)^(x)f(t)dt=int_(-a)^(a)f(t)dt+int_(a)^(x)f(t)dt`
`=0+int_(a)^(x)f(t)dt=phi(x)`.
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CENGAGE-DEFINITE INTEGRATION -Exercise (Comprehension)
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  2. f(x) satisfies the relation f(x)-lamda int(0)^(pi//2)sinxcostf(t)dt=si...

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  3. Check whether the equation is quadratic equation: (x-1) (x-5)=(x-1)(x-...

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  4. Let f(x) and phi(x) are two continuous function on R satisfying phi(x)...

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  5. If f(x) is a function satisfying f(x+a)+f(x)=0 for all x in R and pos...

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  6. Evaluate int(0)^(2)(x^2+x+2)dx

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  7. Evaluating integrals dependent on a parameter: Differentiate I with ...

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  8. Evaluate int(2)^(3)(x^2+1)dx

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  9. Evaluating integrals dependent on a parameter: Differentiate I with ...

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  10. Evaluating integrals dependent on a parameter: Differentiate I with ...

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  11. f(x)=sinx+int(-pi//2)^(pi//2)(sinx+tcosx)f(t)dt The range of f(x) is

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  12. f(x)=sinx+int(-pi//2)^(pi//2)(sinx+tcosx)f(t)dt f(x) is not invertibl...

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  14. Let u=int0^oo (dx)/(x^4+7x^2+1 and v=int0^oo (x^2dx)/(x^4+7x^2+1) then

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  15. Let u=int0^oo (dx)/(x^4+7x^2+1 and v=int0^oo (x^2dx)/(x^4+7x^2+1) then

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  16. If f(x)=int0^1(dt)/(1+|x-t|),t h e nf^(prime)(1/2)i se q u a lto 0 (b...

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  18. Let f be a differentiable function satisfying int(0)^(f(x))f^(-1)(t)d...

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  19. Let f be a differentiable function satisfying int(0)^(f(x))f^(-1)(t)d...

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  20. If U(n)=int(0)^(pi)(1-cosnx)/(1-cosx)dx where n is positive integer of...

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