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intdx/cos^3xsqrt(sin2x)...

`intdx/cos^3xsqrt(sin2x)`

A

a rational function of tan x

B

an irrational function tan x

C

a rational function of cos x

D

a rational function of sin x

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-INDEFINITE INTEGRATION-EXERCISE (LEVEL 2 (SINGLE CORRECT ANSWER TYPE QUESTION ))
  1. Let f be a continuous function satisfying f (x+y) = f (x) + f (y), for...

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

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

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

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

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

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  9. intdx/cos^3xsqrt(sin2x)

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

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  11. If f(x) = sqrt(4x^(2)+4x-3) then int(x+3)/(f(x))dx is equal

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  12. If f (x) = (1+sqrt(2cosx))/(1-sqrt(2)cosx)andg(x)=tan""(x)/(2)andh(x)=...

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  13. If f(x) = sqrt(x^(2)+4)"then" int(f(x))/(x^(6))dx is equal to

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  14. If f(x) = cos x an g (x) = sin x then inta(logf(x))/((f(x))^(2))dx

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  15. If f (x) = cos x then int(2(f(x))^(2)-1)(4(f(x))^(3)-3 f (x)) dx is eq...

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  16. If In=int cot^n dc and I0+I1+2(I2+.......+I8)+I9+I10=A(u+(u^2)/2+........

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  17. f(x) = int (dx)/(sin^(4)x) is a

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  18. If f(x) = sqrt(x^(2)-a^(2))"then" int(x^(2))/(f(x))dx is

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  19. Let f(x)=x/((1+x^n)^(1/ n)) for ngeq2 and g(x)=(f(ofo ...of)(x) Then ...

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  20. If intf(x)dx=phi(x)i.e.phi is a function such that phi'(x) = f(x), the...

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