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If the area bounded by the curve y=f(x),...

If the area bounded by the curve y=f(x), x-axis and the ordinates x=1 and x=b is (b-1) `sin`(3b+4), then-

A

3x cos (3x + 4) + sin (3x + 4)

B

3(x - 1) cos (3x + 4) + sin (3x + 4)

C

x cos (3x + 4) + sin (3x + 4)

D

|sin (3x + 4) - 3 (1 - x) cos (3x + 4)|

Text Solution

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The correct Answer is:
B,D
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FIITJEE-AREA-Assignment Problems (Objective) Level - II
  1. Area bounded by curve y^(2)=x and x=4 is divided into 4 equal parts b...

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  2. The curve y = a sqrt(x) + bx passes through the point (1,2) and the ar...

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  3. The area bounded between the curves x^(2) = y and y^(2) = x is equal t...

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  4. For which of the following values of m is the area of the regions boun...

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  5. Let T be the triangle with vertices (0,0), (0,c^2 )and (c, c^2) and le...

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  6. Let ABCD is a rectangle whose sides given area a and b. A rectangle PQ...

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  7. Consider the function f(x)={{:(x-[x]-(1)/(2),x !in),(0, "x inI):} wher...

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  8. If A(1) is the area bounded by the curve y = cos x and A(2) is the are...

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  9. The area of the upper half of the circle whose equation (x-1)^(2)+y^(2...

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  10. If A is the area between the curve y=sin x and x-axis in the interval...

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  11. Area bounded by the curve f(x) ={loge|x|,|x| >= 1/e |x|-1-1/e, |x|< 1/...

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  12. The area {(x,y) x^(2) le y le sqrt(2)} is equal to

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  13. The slope of the tangent to a curve y=f(x) at (x,f(x)) is 2x+1. If the...

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  14. The area bounded by the curve y y=e^|x|,y=e^(-|x|),x >= 0 and x <= 5 i...

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  15. If the area bounded by the curve y=f(x), x-axis and the ordinates x=1 ...

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  16. The area bounded by the curve |x|=cos^-1y and the line |x|=1 and the ...

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  17. Area common to the curves y^2 = ax and x^2 + y^2 = 4ax is equal to

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  18. The area of the curve x + |y| = 1 and the y-axis is

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  19. The area of quadrilateral combined equation of whose sides are (x^(2...

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  20. Area of the region bounded by the curve y=tanx and lines y = 0 and x =...

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