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

`int_(0)^((pi)/(2)) sin^7 xdx` is :

Text Solution

Verified by Experts

The correct Answer is:
(i) `(16)/(35)`
(ii) `(35pi)/(256)`.
(iii) `(512)/(315)` .
(iv) `(16)/(105)` .
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FULL MARKS-APPLICATIONS OF INTEGRATION-ADDITIONAL PROBLEMS
  1. Evaluate: int(0)^(pi//4)(dx)/(4+5cos^(2)x) .

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Volume of solid obtained by revolving the area of the ellipse (x^(2))/...

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  19. The volume generated by rotating the triangle with vertices at (0,0), ...

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  20. The length of th arc of the curve x^(2//3)+y^(2//3)=4 is…..

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