CENGAGE ENGLISH-INTEGRALS-All Questions
- If int0^1 (e^t dt)/(t+1)=a, then evaluate int(b-1)^b (e^t dt)/(t-b-1)
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- If f(x)=x+sinx , then find the value of intpi^(2pi)f^(-1)(x)dx.
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- Let F(x)=intx^[x^2+pi/6](2cos^2t)dt for all x in R and f:[0,1/2] -> [0...
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- If f(x) is a function satisfying f(1/x)+x^2f(x)=0 for all nonzero x , ...
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- I1=int0^(pi/2)(sinx-cosx)/(1+sinxcosx)dx ,I2=int0^(2pi)cos^6xdx ,I3=in...
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- The value of the integral int(e^(-1))^(e^2)|((log)e x)/x| dx is (A)...
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- Iff(x)=int1^x(logt)/(1+t+t^2)dxAAxlt=1,t h e np rov et h a tf(x)=f(1/x...
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- If f(x) = int0^pi (t sint dt) / (sqrt(1+tan^2xsin^2t)) for 0 < x < pi/...
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- Evaluate: int(sqrt(2)-1)^(sqrt(2)+1)((x^2-1))/((x^2+1)^2)dx
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- int0^x(2^t)/(2^([t]))dt ,w h e r e[dot] denotes the greatest integer f...
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- Ify=int0^xf(t)sin{k(x-t)}dt ,t h e np rov et h a t(d^2y)/(dx^2)+k^2y=k...
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- f(x) is a continuous function for all real values of x and satisfies i...
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- If x=int0^y (dt)/sqrt(1+9t^2) and (d^2y)/(dx^2)=ay, then find a
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- The value of int(1/e)^(tanx)(tdt)/(1+t^2)+int(1/e)^(cotx)(dt)/(t(1+t^2...
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- Prove that: y=int(1/8)^(sin^2x)sin^(-1)sqrt(t)dt+int(1/8)^(cos^2x)cos^...
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- f(x)>0AAx in R and is bounded. If lim(n->oo)[int0^a(f(x)dx)/(f(x)+f(a...
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- Evaluate: int1^a xdota^(-[(log)a x])dx ,(a >1)dot
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- int0^oo(sin^2x)/(x^2)dx must be same as:
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- Evaluate: int1^(e^6)[(logx)/3]dx ,w h e r e[dot] denotes the greatest...
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- If int(0)^(oo) (sinx)/x dx=(pi)/2, then int(0)^(oo) (sin^(3)x)/x dx i...
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