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Evaluate, int(0)^(pi//2)(dx)/(5+4sinx) ....

Evaluate, `int_(0)^(pi//2)(dx)/(5+4sinx)` .

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The correct Answer is:
`=(2)/(3)tan^(-1),(1)/(3)`
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FULL MARKS-APPLICATIONS OF INTEGRATION-ADDITIONAL PROBLEMS
  1. Evaluate: int(0)^(pi//2) sqrtsinthetacos^(5)theta d theta

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  2. Evaluate:int(0)^(pi//3)(secxtanx)/(1+sec^(2) x)dx

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  3. Evaluate, int(0)^(pi//2)(dx)/(5+4sinx) .

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  4. Evaluate: int(0)^(pi//4)(dx)/(4+5cos^(2)x) .

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  5. Evaluate: int(0)^(pi//2)(dx)/(4+9cos^(2)x)

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  6. int(0)^((pi)/(2)) sin^7 xdx is :

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  7. Evaluate int(0)^((pi)/(2))sin^4 x cos^2xdx.

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  8. Find the area of the region bounded by y^2=4ax and x=|y|.

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  9. Find the area of bounded by the curve y=x^(3) and thr liney=x.

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  10. Find the area of the loop and the curve 3ay^(2)=x(x-a)^(2)1.

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  11. Find the area between the line y=x+1 and the curve y=x^(2)-1

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  12. The volume of the solid that results when the region enclosed by (x^(2...

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  13. Find the volume of the solid generated when the region enclosed by y=s...

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  14. The area bounded by the line y=x, the x-axis , the ordinates x=1,x=2 i...

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  15. The area of the region bounded by the graph of y =sin x and y = cos x...

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  16. Find the area of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1.

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  17. The area bounded by the parabola y^(2) = x and its latus rectum is

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  18. The volume of solid obtained by revolving (x^2)/(9)+(y^2)/(16)=1 about...

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  19. The volume when y = sqrt( 3 + x^(2)) from x = 0 to x = 4 is rotated a...

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  20. the volume generated when the region bounded by y=x, y=1, x=0, is rota...

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