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int(0)^(pi//4)(sinx + cos x)/(7+9 sin 2x...

`int_(0)^(pi//4)(sinx + cos x)/(7+9 sin 2x) dx =`

A

`(log 3)/(4)`

B

`(log 3)/(36)`

C

`(log 7)/(12)`

D

`(log 7)/(24)`

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-EAMCET - 2016 TS-Questions
  1. If the area bounded by the curves y=ax^(2) and x=ay^(2)(a gt 0) is 3 s...

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  2. int(0)^(pi//4)[sqrt(tan x) + sqrt(cot x)] = dx

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  3. int(0)^(pi//4)(sinx + cos x)/(7+9 sin 2x) dx =

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  4. int (2x+2)/(sqrt(x^(2)-4x-5))dx=

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  5. int(dx)/(cos (x+4)cos(x+2)) =

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  6. int(x^(3))/(sqrt(1+x^(2)))dx =

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  7. int((x^(2) +1))/(x^(4) + 7x^(2) + 1) dx =

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  8. The smallest value of of the constant m gt 0 for which f(x) = 9mx - 1 ...

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  9. Define f(x) = (1)/(2)[|sinx|+sin x], 0 lt x le 2pi. Then f is

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  10. The area of the triangle formed by the positive x-axis, the tangent an...

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  11. The length of the segment of the tangent line curve x = a cos^(3)t, y ...

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  12. If y =a cos (sin x) + b sin (sin x) then y (2) + (tan x) y(1)=

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  13. (d)/(dx) Tan^(-1)[(sqrt(1+sinx) - sqrt(1-sin x))/(sqrt(1+sin x) + sqrt...

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  14. If y = Tan^(-1)[(5 cos - 12 sin x)/(12 cos x + 5 sin x)], then (dy)/(d...

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  15. continuous at x = 0 Let f(x) = {{:((1 + |sin x| )^((a)/(|sin x|)), ...

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  16. lim(x rarr oo)[(x^(2) + x + 3)/(x^(2) - x + 2)]^x =

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  17. The image of the point (5, 2, 6) with respect to the plane x+ y + z = ...

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  18. If the angle betweenthe lines whose direction cosines are (-(2)/(sqrt(...

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  19. Points A(3, 2, 4), B ((33)/(5), (28)/(5), (38)/(5)), and C(9, 8, 10) a...

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  20. Let A (2sec theta, 3 tan theta ) and B( 2sec phi ,3 tan phi ) where t...

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