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RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -Self practive problem
- int(-pi//2)^(pi//2)sin^(7)xdx
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- int(-pi//4)^(pi//2)(secxdx)/(1+2^(x))dx.
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- int(0)^(pi)(x)/(1+sinx)dx.
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- int(0)^(pi//2)(x)/(sinx+cosx)dx.
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- int(0)^(pi//2)(xsinxcosx)/(sin^(4)x+cos^(4)x)dx.
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- int(pi/12)^(pi/2)(dx)/(1+sqrt(cotx))
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- int(0)^(oo)((ln(1+x^(2)))/(1+x^(2)))dx.
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- int(0)^(oo)((tan^(-1)x)/(x(1+x^(2))))dx
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- int(0)^(1) lnsin(pi/2x) dx
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- int(-1)^(41//2)e^(2x-[2x])dx, where [*] denotes the greatest integer f...
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- int(0)^((14pi)/3) |sinx|dx
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- int(pi)^((3pi)/2)(sin^(4)x+cos^(4)x)dx
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- If f(x) = int(0)^(x^(2)) sqrt(cost)dt, find f'(x)
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- Find the equation of tangent to the y = F(x) at x = 1, where F(x) = i...
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- If int(0)^(x)f(t)dt = x^(2)-int(0)^(x^(2))(f(t))/(t)dt then find f(1).
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- If f(x) = int(x)^(x^(2)) t^(2)lnt then find f'(e)
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- If y = int(4)^(4x^(2))t^(4)e^(4t)dt, find (d^(2)y)/(dx^(2))
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- If y = int(0)^(x^(2))ln(1+t), then find (d^(2)y)/(dx^(2))
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- If int(0)^(x^(2)(1+x))f(t)dt = x then find f(2)
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- Evaluate int(0)^(pi)ln(1+bcosx) dx, 'b' being parameter.
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