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Compute the area of the curvilinear tria...

Compute the area of the curvilinear triangle bounded by the y-axis and the curve, y = tan x and `y = (2//3 cos x).`

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The correct Answer is:
`1/3+ln(sqrt(3)/2)` sq.units
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MOTION-AREA UNDER THE CURVE-EXERCISE -3
  1. Find the area of the region enclosed by the curve y = x^(4) – 2x^(2) a...

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  2. Find the area enclosed between the curves: y = loge (x + e) , x = loge...

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  3. Compute the area of the curvilinear triangle bounded by the y-axis and...

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  4. For what value of ‘a’ is the area of the figure bounded by the lines y...

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  5. Given f(x) = int(0)^(x)e^(t)(ln sec t - sec ^(2) t ) dt, g(x)= - 2e^(x...

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  6. Find the values of m (m gt 0) for which the area bounded by the line y...

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  7. For what value of 'a' is the area bounded by the curve y=a^2x^2 +ax+...

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  8. Consider the collection of all curve of the form y = a – bx^(2) that p...

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  9. For the curve f(x) = 1/(1+x^(2) , let two points on it are A(alpha, f(...

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  10. Let ‘c’ be the constant number such that c gt 1. If the least area ...

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  11. If y=f(x) is a monotonic function in (a,b), then the area bounded by t...

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  12. For what values of a in [0, 1] does the area of the fiqure bounded by ...

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  13. A figure is bounded by the curves y =|sqrt2 sin((pix)/4)|,y=0, x=2&x=4...

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  14. The line 3x +2y=13 divides the area enclosed by the curve, 9x^2+4y^2-1...

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  15. Find the area bounded by the curve y = xe^(-x^2) , the x-axis, and the...

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  16. A polynomial function f(x) satisfies the condition f(x+1)=f(x) + 2x + ...

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  17. Find the equation of the line passing through the origin and dividing ...

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  18. Consider the curve y=x^n where n > 1 in the 1^st quadrant. Ifthe areab...

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  19. In the adjacent figure the graph of two function y=f(x) and y=sin x ar...

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  20. If An be the area bounded by the curve y=(tanx^n) ands the lines x=0,\...

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