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If int cosex 2x dx = f(g(x)) + c , then...

If `int cosex 2x dx = f(g(x)) + c ` , then

A

`f(g'(x)) = (1//2) log |sec^2 x|`

B

`g(f'(x)) = tan (1//2x)`

C

Both (a) and (b)

D

none of these

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The correct Answer is:
C
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KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 5-Mathematics
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  2. If phi(x) = int(1//x)^(sqrtx) sin(t^2) dt, then phi'(1) is equal to

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  3. If int cosex 2x dx = f(g(x)) + c , then

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  4. If y=e^(4x) + 2e^(-x) satisfies the relation y3 + Ay1 + By = 0 then

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  5. Let veca = 2hati + hatj -hatk , vecb = hati + 2hatj - hatk , and vecc...

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  9. If the circle x^(2)+y^(2)=a^(2) intersects the hyperbola xy=c^(2) in f...

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  10. Let a=(1//3) (-hati + 2hatj + 2hatk), then

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  12. The conic given by y^2 + 8x - 12y + 20 =0

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  16. P(x) is a polynomial satisfying P(x+3//20) = P(x), for all x. If P(5) ...

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  17. The unit's digit of 1^2 + 2^2 + ….. + n^2 is 5. The unit's digit of 1...

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