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Let int x sinx sec^3x dx = 1/2(x.f(x) -...

Let `int x sinx sec^3x dx = 1/2(x.f(x) - g(x)) + k`, then

A

`f (x) cancel (in) (-1,1)`

B

`g (x) =sin x `has 6 solution for `x in [-pi, 2pi]`

C

`g'(x) =f(x),AA x in R`

D

`f (x) gg(x) ` has no solution

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The correct Answer is:
A, C, D
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VIKAS GUPTA (BLACK BOOK) ENGLISH-INDEFINITE AND DEFINITE INTEGRATION-EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
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  3. "I f"intsqrt(x/(a^3-x^3))dx=d/bsin^(- 1)((x^(3/2))/(a^(3/2)))+C (wher...

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  4. Let int x sinx sec^3x dx = 1/2(x.f(x) - g(x)) + k, then

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  5. If int (sin 3 theta + sin theta ) cos theta e ^(sin theta ) d theta = ...

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

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  10. Which of the following function (s) is/are even ?

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  11. Let lim(x->oo) sqrt((x-cos^2x)/(x+sinx)) and I2 = lim(h->0^+) int(-1)^...

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  12. For a gt 0,if I= int sqrt((x)/(a ^(3) -x ^(3)))dx =A sin ^(-1) ((x ^(3...

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