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If int(a)^(b)|sinx|dx=8 and int(0)^(a+b)...

If `int_(a)^(b)|sinx|dx=8` and `int_(0)^(a+b)|cosx|dx=9`, then find the value of `int_(a)^(b)xsinxdx=`

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  6. Evaluate: int(-1/2)^(1/2)cosxlog((1-x)/(1+x))dx

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  8. Evaluate: int0^x[cost]dt where x in (2npi,(4n+1pi/2),n in N ,a n d[do...

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  9. Suppose f is a real-valued differentiable function defined on [1,oo] ...

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  10. Let f be a real valued function satisfying f(x)+f(x+4)=f(x+2)+f(x+6) ...

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  11. If x int(0)^(x)sin(f(t))dx=(x+2)int(0)^(1)tsin(f(t))dt, where xgt0, th...

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  14. Find the equation of tangent to the y = F(x) at x = 1, where F(x) = u...

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  15. If int0^x[x]dx=int0^([x])xdx , then prove that either x is purely fr...

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  17. If I1=int0^1 2^(x^2)dx , I2=int0^1 2^(x^3) dx , I3= int1^2 2^(x^2) dx ...

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  18. If af(x)+bf((1)/(x))=(1)/(x)-5,x ne 0,a ne b, then overset(2)underset(...

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  19. Find the mistake in the following evaluation of the integral I=int0^pi...

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