The value of int0^(pi/2)cos^2xdx...

The value of `int_0^(pi/2)cos^2xdx`

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Find the value of int0^(pi/2)sin2xdx
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Let f:[a,b]rarr[1,infty) be a continuous function and lt g: RrarrR be ...
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The value of int0^(pi/2)cos^2xdx
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prove that |sint| is non-differentiable at t=pi.
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Find the value of int0^1x(1-x)dx
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Let Sn=sum(k=0)^n n/(n^2+kn+k^2) and Tn=sum(k=0)^(n-1) n/(n^2+kn+k^2) ...
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The value of the definite integral int(sqrt2-1)^(sqrt(2)+1)(x^4+x^2+2...
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If a continuous function f on [0, a] satisfies f(x)f(a-x)=1, a >0, the...
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L e tJ=int(-5)^(-4)(3-x^2)tan(3-x^2)dx and K=int(-2)^(-1)(6-6x+x^2) t...
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Let g(x) be differentiable on R and int(sint)^1x^2g(x)dx=(1-sint), wh...
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Show that ("lim")(n vec oo)(1/(n+1)+1/(n+2)++1/(6n))=log6
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int(-pi/3)^0[cot^(-1)(2/(2cosx-1))+cot^(-1)(cosx-1/2)]dx i s equal to...
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Ifint(-pi/4)^((3pi)/4)(e^(pi/4)dx)/((e^x+e^(pi/4))(sinx+cosx))=kint(-p...
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If f(x) =(e^x)/(1+e^x), I1=int(f(-a))^(f(a)) xg(x(1-x))dx, and I2=int(...
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If f(y)=e^y ,g(y) = y>0,a n d \ F(t)=int0^t f(t-y)g(y)dy ,then
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Given int0^(pi/2)(dx)/(1+sinx+cosx)=log2. Then the value of integral ...
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"I f"I1=int(-100)^(101)(dx)/((5+2x-2x^2)(1+e^(2-4x))) "and"I2=int(-10...
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int0^oo(x dx)/((1+x)(1+x^2)) is equal to (A) pi/4 (B) pi/2 (C) p...
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int0^oo(dx)/([x+sqrt(x^2+1)]^3)is equal to (a)3/8 (b) 1/8 (c) -3/8 ...
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The value of int1^e (1+x^2 In x)/(x+x^2 In x) dx is equal (a) In (1+...
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