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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 find f(x).

A

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

B

`sin(3x+4)`

C

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

D

none of these

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-AREAS OF BOUNDED REGIONS-Chapter Test
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  2. The area (in square units) bounded by the curve y^(2)=8xand x^(2)=8y, ...

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

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  4. The area in square units of the region bounded by the curve x^(2)=4y, ...

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  5. The area enclosed between the curve y^2(2a-x)=x^3 and the line x=2 abo...

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  6. The area bounded by the curve y=4x-x^2 and x-axis is (A) 30/7 sq. unit...

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  7. Area bounded by the parabola y^2=x and the line 2y=x is:

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  8. Area between the x-axis and the curve y=cosx, when 0 le x le 2pi is:

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  9. The ratio of the areas between the curves y=cosx and y=cos2x and x-axi...

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  10. Find the area bounded by the parabola y=x^2+1 and the straight line x+...

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  11. Prove that the area common to the two parabolas y=2x^2\ a n d\ y=x^2+4...

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  12. Find the area of the region {(x,y): x^(2)+y^(2) le 1 le x + y}

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  13. Find the area bounded by the parabola y^2 = 4ax and its latus rectum.

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  14. The area bounded by the curve y=x^(4)-2x^(3)+x^(2)+3 with x-axis and o...

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  15. Find the area common to two parabolas x^2=4ay and y^2=4ax, using integ...

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  16. The area (in square units) bounded by curves y=sinx between the ordin...

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  17. The area of the region bounded by the parabola (y-2)^(2)=x-1, the tang...

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  18. The area enclosed between the curves y=log(e)(x+e),x=log(e)((1)/(y)), ...

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  19. Find the area of the region formed by x^(2)+y^(2)-6x-4y+12 le 0, y le ...

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

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