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BANSAL-INTEGRALS-All Questions
- I=int0^(2pi)sin^4x\ dx=kint0^(pi//2)cos^4x\ dx\ find value of k ?
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- Evaluate: I=int0^(2pi)xdotcos^5x dx
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- Evaluate: int0^pi(pi-x)/(cos^2x+b^2sin^2x)dx
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- int0^(pi/4) ln(1+tantheta) d theta
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- int(pi//4)^(3pi//4)(xsinx)/(1+sinx)dx
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- int0^pi((a x+b)secxtanx)/(4+tan^2x)dx(a , b >0)
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- int0^pi((2x+3)sinx)/((1+cos^2x))
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- Evaluate : int0^pi(x^2sin2x*sin(pi/2*cosx))/(2x-pi)dx
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- int0^1000 e^(x-[x])dx
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- Evaluate: (lim)(x->0)(int underset0overset(x^2)cost^2tdt)/(xsinx)
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- Evaluate: int0^(200pi)sqrt(1+cosx\ )"dx"
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- If y=a sin t, x=a cos t then find (dy)/(dx).
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- let g(x)=x^c e^(cx) and f(x)=int0^x t e^(2t)(1+3t^2)^(1/2)dt. if L=l...
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- Evaluate: inta^b cos x dx
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- Find the value of (lim)(n->oo)1/n+1/(n+1)+1/(n+2)+ddot+1/(4n)
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- Evaluate: int0^(pi//2)cos^2x\ dx
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- Let In=int0^1(1-x^a)^n and if In/I(n+1)=1+lambda/alpha then lambd...
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- If In=int0^(pi//4)tan^("n")x dx , prove that In+I(n-2)=1/(n+1)dot
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- int0^1(tan^(-1)x)/x dx is equals to int0^(pi/2)(sinx)/x dx (b)...
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- Evaluate : (lim)(x->0)(int0xtanx\ dx)/(xtanx)
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