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If f(x) = int(3x+2)/(x^(4)-x^(3)+x^(2)-1...

If f(x) = `int(3x+2)/(x^(4)-x^(3)+x^(2)-1)dx` then f(x) has

A

one critical point

B

two critical points

C

three critical points

D

no critical points

Text Solution

Verified by Experts

The correct Answer is:
C
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MCGROW HILL PUBLICATION-INDEFINITE INTEGRATION-EXERCISE (LEVEL 2 (SINGLE CORRECT ANSWER TYPE QUESTION ))
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  2. If f(x) = int(3x+2)/(x^(4)-x^(3)+x^(2)-1)dx then f(x) has

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  3. The function f(X) = int((x-2)dx)/(x^(2)-7x+12)

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  4. If f(x) = sin x then int(e^(f(x))(xcos^(3)x-f(x)))/(1-(f(x))^(2))dx is...

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  5. int(4e^x+6e^(-x))/(9e^x-4e^(-x))dx

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  6. Let f be a continuous function satisfying f(x + y) = f (x) f( y) (x, y...

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  7. int(x^7)/(x^4+1)dx

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  8. The function f whose graph passes through (0,0) and whose derivative i...

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  9. Let P(x) be a polynomial of degree n with leading coefficient 1. Let v...

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  10. If int(x+1)/((x^(2)+x+1))(dx)/(sqrt(x^(2)+x+1))=K(x-1)/(sqrt(x^(2)+x+1...

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  11. Let f be a continuous function satisfying f (x+y) = f (x) + f (y), for...

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  12. The value of int(dx)/(4sqrt((x-1)^(3)(x+2^(2)))) is

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  13. int(cos4x-1)/(cotx-tanx)dx is equal to

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  14. If f(x) = lim(n->oo)(x^n-x^(-n))/(x^n+x^(-n)), x >1 then int(xf(x)l...

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  15. The value of int sin 3sqrt(x) dx is

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  16. Let f(x) be a function satisfying f'(x) = f(x) and f(0) = 2. Then int(...

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  17. If int(f(x))/(x^(2)-x+1)dx=(3)/(2)log(x^(2)-x+1)+(1)/(sqrt(3))tan^(-1)...

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  18. If the antiderivative of (1)/(x^(2)sqrt(1+x^(2))) is -sqrt(f(x))/(x)+C...

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  19. intdx/cos^3xsqrt(sin2x)

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  20. If f(x) = sqrt(x),g(x) = e^(x) - 1 and h(x) = tan^(-1)x then the antid...

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