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int (0) ^(pi//4)cos 2x sqrt(1- sin 2x )d...

`int _(0) ^(pi//4)cos 2x sqrt(1- sin 2x )dx `

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MOTION-DEFINITE INTEGRATION -ELEMENTRAY EXERCISE
  1. int (0) ^(pi) (sin ^(2) x ) dx

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  2. int (0) ^((ln3)/(2))(e ^(x) + 1)/(e ^(2x) + 1)dx

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  3. int (0) ^(pi//4)cos 2x sqrt(1- sin 2x )dx

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  4. int ( 0)^(2) ((x )/(3-x)) dx

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  5. int (0) ^(1//2) dx/((1-2x^(2))sqrt(1-x^(2)))=

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  6. int (1) ^(2) (dx )/(x (x ^(4) + 1))

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  7. int (0) ^(pi//2) sin phi cos phi sqrt((a^(2) sin ^(2) phi cos ^(2)))d ...

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  8. The value of the definite integral overset(3pi//4)underset(0)int(1+x)s...

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  9. Let f(x)=intx^(sinx)(1+xcosxdotlnx+sinx)dxa n df(pi/2)=(pi^2)/4dot The...

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  10. int (0) ^(1) x tan ^(-1) x dx =

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  11. Suppose that f,f^prime and f prime prime are continuous on [0, ln 2] a...

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  12. The value of the integral int(0)^(1)(dx)/(x^(2)+2x cos alpha +1),0ltal...

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  13. int (a) ^(b) (dx)/( sqrt(1 + x ^(2))) where a = (e-e^(-1))/( 2 ) &b = ...

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  14. int (x^(x)(x^(2x)+1)("ln"x+1))/(x^(4x)+1)dx

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  15. int (0) ^(1) x ^(5) sqrt((1 + x ^(2))/(sqrt(1- x^(2))))dx

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  16. Suppose that the function f, g, f',and g' are continuous over [0,1], g...

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  17. The value of the integral overset(pi//4)underset(0)int (sin theta+cos ...

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  18. int (0) ^(pi) sin ^(2) theta cos theta d theta

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  19. Let g(x)=int(1+2cosx)/((cosx+2)^2)dxa n dg(0)=0. then the value of 8g(...

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  20. int (0) ^(pi//2) (x + sin x )/(1 + cos x ) dx

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