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RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -Self practive problem
- Evaluate the following int(1)^(2)(5x^(2))/(x^(2)+4x^(2)+3)dx
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- int(0)^(pi//4)(2sec^(2)x+x^(3)+2)dx
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- int(0)^(pi/3)(x)/(1+secx)dx
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- int(0)^(4)(|x-1|+|x-3|)dx
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- int(-2)^(4) f[x]dx, where [x] is integral part of x.
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- int(0)^(9)[sqrt(t)]dt.
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- Evaluate the following int(-1)^(1)|x|dx.
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- 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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