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A DAS GUPTA-Definite Integration-EXERCISE
- Evaluate the following integrals: int(cosx)/(cos(x+alpha))dx
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- Evaluate the following:int0^1(x^3dx)/(1+x^4)
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- int0^1(x dx)/(sqrt(x+lambda)+sqrt(x+mu)),lambda!=mu
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- By using the properties of definite integrals, evaluate the integra...
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- int0^pi cos2xlogsinxdx= (A) pi (B) -pi/2 (C) pi/2 (D) none of these
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- Evaluate the following : int(pi//2)^(pi)e^(x)((1-sinx)/(1-cosx))dx.
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- integrate int0^(2pi) e^x . sin (pi/4 + x/2) dx
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- Evaluate the following: int0^(pi/2) |cosx-sinx|dx
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- Evaluate: intsqrt(2a x-x^2)dx
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- Evaluate the following integral: int0^a1/(x+sqrt(a^2-x^2))dx
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- Evaluate: int2^3(2x^5+x^4-2x^3+2x^2+1)/((x^2+1)(x^4-1))dx
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- Evaluate the following:int0^1(x^2dx)/(1+x^3)
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- Evaluate: int0^(pi//2)(cos^2x)/(cos^2x+4sin^2x)dx
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- int(0)^((pi)/(2))(cosxdx)/(1+sin^(2)x)
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- Evaluate: int0^(pi/4) secx/(1+2sin^2x)dx
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- Evaluate the following integral:int0^(pi//2)(xsinxcosx)/(sin^4x+cos^4x...
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- int(pi/6)^(pi/3) (sin x+ cos x)/(sqrt(sin 2x))dx
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- Evaluate the following:int(-pi/4)^0sinx.sec^2(x+pi/4)dx
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- If f(x)=x^3,show that inta^bf(x)dx=(b-a)/6{f(a)+4f((a+b)/2)+f(b)}.
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- Find the value of int0^(pi/2)(sinx.cosx)/((a^2cos^2x+b^2sin^2x)^2)dx
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