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Evaluate: int(0)^(pi//2) sqrtsinthetacos...

Evaluate: `int_(0)^(pi//2) sqrtsinthetacos^(5)theta d theta`

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The correct Answer is:
`(64)/(231)` .
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FULL MARKS-APPLICATIONS OF INTEGRATION-ADDITIONAL PROBLEMS
  1. Evaluate : int(0)^(2pi)(cosx)/(sqrt(4+3 sin x))dx

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  2. Evaluate: int(0)^(pi//4)(sin^(3)x)/(cos^(5) x) dx

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  3. Evaluate: int(0)^(pi//2) sqrtsinthetacos^(5)theta d theta

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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