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Let f(x)=intx^(sinx)(1+xcosxdotlnx+sinx)...

Let `f(x)=intx^(sinx)(1+xcosxdotlnx+sinx)dxa n df(pi/2)=(pi^2)/4dot` Then the value of `|"cos"(f(pi))|` is____

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The correct Answer is:
`(pi- (pi ^(2))/(4))`
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MOTION-DEFINITE INTEGRATION -ELEMENTRAY EXERCISE
  1. int (0) ^(pi//2) sin phi cos phi sqrt((a^(2) sin ^(2) phi cos ^(2)))d ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Let A = int (3//4) ^(4//3) (2x ^(2) + x +1 )/( x ^(3) + x ^(2) + x + 1...

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  16. int (2 -x ^(2))/( ( a + 1) (1- x ^(2)))dx

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  17. int(-1)^1(d/dx(1/(1+e^(1/x))))dx

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  18. int (1) ^(e ) (dx )/(ln (x ^(x) e ^(x)))

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  19. int (0) ^(pi)[ cos ^(2) ((3pi)/(8) - (x )/(4)) - cos ^(2) ((11pi)/(8)+...

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  20. If f(pi) =2 and int0^pi (f(x) + f''(x)) sinx dx =5 then f(0) is equal ...

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