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Given f(x) = int(0)^(x)e^(t)(ln sec t - ...

Given `f(x) = int_(0)^(x)e^(t)(ln sec t - sec ^(2) t ) dt, g(x)= - 2e^(x) tan x` Find the area bounded by the curves y = f(x) and y = g(x) between the ordinates x = 0 and `x = pi/3`

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The correct Answer is:
`e^(pi//3) log2 ` sq.units
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MOTION-AREA UNDER THE CURVE-EXERCISE -3
  1. Compute the area of the curvilinear triangle bounded by the y-axis and...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Find the whole area included between the curve x^2)y^(2) = a^(2)(y^(2)...

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  20. Let C(1 )and C(2) be two curves passing through the origin as shown in...

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