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The area of the region bounded by the X-...

The area of the region bounded by the X-axis and the curves defined by y=tan x,
`(-pi/3 le x le pi/3)` is

A

`logsqrt(2)`

B

`-logsqrt(2)`

C

2log 2

D

0

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Verified by Experts

The correct Answer is:
C
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TARGET PUBLICATION-APPICATIONS OF DEFINITE INTEGRAL-CRITICAL THINKING
  1. The area bounded by the curve x = 4 - y^(2) and the Y-axis is

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  2. The area enclosed by the parabola y=x^(2)-1 " and " y=1-x^(2) is

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  3. The area of the region bounded by the X-axis and the curves defined by...

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  4. The area of the region bounded by the curve y=cosx, X-axis and the lin...

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  5. Find the area of the region bounded by the curve y = sin x ...

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  6. The area of smaller part between the circle x^(2)+y^(2)=4 and the line...

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  7. The area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

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  8. A tangent to the ellipse 16x^2 + 9y^2 = 144 making equal intercepts o...

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  9. Find the area bounded by the curve y=x|x|, x-axis and ordinates x=-1 a...

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  10. Find the area bounded by the curve y = 3x + 2, x-axis and ordinate x=-...

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  11. Area lying in the first quadrant and bounded by the circle x^(2)+y^(2)...

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  12. Area bounded by the lines y=2+x, y=2-x and x=2 is (A) 3 (B) 4 (C) 8 (D...

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  13. The area of the region bounded by y=7x+1, y=5x+1 and x=3 is

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  14. For 0 lt= x lt= pi, the area bounded by y = x and y = x + sin x, is

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  15. The area bounded by the curves y^(2)-x=0 and y-x^(2)=0 is

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  16. Find the area included between the curves x^2=4y and y^2=4x.

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  17. If the area enclosed between the curves y=a x^2a n dx=a y^2(a >0) is 1...

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  18. Find the area bounded by the curve 4y^2=9x and 3x^2=16 y

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  19. The area common to the parabolas y=2x^2 and y=x^2+4 (in square units) ...

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  20. The area bounded by the curves 4y=x^(2) " and " 2y=6-x^(2) is

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