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Consider the integral I=int0^pi(xsinx)/(...

Consider the integral `I=int_0^pi(xsinx)/(1+cos^2x)dx`
Show that `I=pi^2/4`

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MAXIMUM PUBLICATION-APPLICATION OF DERIVATIVES-EXAMPLE
  1. Consider the integral I=int0^pi(xsinx)/(1+cos^2x)dx Show that I=pi^2...

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  2. Find the equation of tangents and normals to the given curves x=cost,y...

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  3. A ladder 5m long is leaning against a wall. The bottom of the ladder i...

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  4. Find the points on the curve y=x^3, the tangents at which are inclined...

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  5. Find the equation of the tangent to the parabola y^2=4x+5 which is p...

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  6. Find the intervals in which the function f given f(x)=2x^2-3x is Str...

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  7. Find the intervals in which the function f given f(x)=2x^2-3x is Str...

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  8. Find the intervals in which the function f(x)=(x+1)^3(x-3)^3 strictly ...

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  9. Find the intervals in which the function f(x)=x+1/x strictly increa...

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  10. Determine whether the f(x)=x^2 function is strictly monotonic on the i...

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  11. Determine whether the f(x)=x^2 function is strictly monotonic on the i...

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  12. Determine whether the f(x)=x^2 function is strictly monotonic on the i...

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  13. Determine whether the f(x)=x^3-x function is strictly monotonic on the...

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  14. Determine whether the f(x)=x^3-x function is strictly monotonic on the...

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  15. Determine whether the f(x)=x^3-x function is strictly monotonic on the...

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  16. Find the approximate change in the volume V of a cube of side x meters...

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  17. If the radious of a sphere is measured as 7m with an error of 0.02m th...

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  18. The length of a rectangle is decreasing at the rate of 5 cm/mi and the...

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  19. Find the equation on tangents and normals to the given curves y=x^4-...

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  20. Find the equation of tangents and normals to the given curves y=x^3 at...

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  21. The volume of a cube is increasing at the rate of 8cm^3//S. How fast i...

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