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RD SHARMA-DEFINITE INTEGRALS-Solved Examples And Exercises
- Evaluate : int0^(1/2)1/(sqrt(1-x^2))dx
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- Evaluate : int0^1 1/(1+x^2)dx
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- Evaluate : int0^(pi)x/(a^2cos^2x+b^2sin^2x)^2dx
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- Evaluate : int0^oo1/(a^2+b^2x^2)dx
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- Evaluate : int(pi/3)^(pi/4)(tanx+cotx)^2dx
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- Evaluate : int1^e(logx)/xdx
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- Evaluate : int0^(2pi)e^xcos(pi/4+x/2)dx
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- Evaluate : int1^2(x+3)/(x(x+2))dx
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- Evaluate : inte^(e^2){1/(logx)-1/((logx)^2)}dx
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- If int0^k1/(2+8x^2)dx=pi/(16),find the value of 2k
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- Evaluate:int-pi^pi ((2x)(1+sinx)/(1+cos^2x))dx
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- Evaluate: int(-1)^1(x^3+|x|+1)/(x^2+2|x|+1)dx
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- int0^1log(1/x-1)dx is equal to
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- Evaluate: int0^(pi/2) (sin^2x)/(1+sinxcosx) dx
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- Prove that: int0^(pi//2)(sin x)/(sinx-cosx)dx=pi/4
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- Prove that: int0^(2a)f(x)dx=int0^(2a)f(2a-x)dxdot
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- Evaluate: int(-pi//4)^(pi//4)x^3sin^4xdx (ii) int( a)^asqrt((a-x)...
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- Evaluate: int(pi//4)^(pi//4)(x+pi//4)/(2-cos2x)dx
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- Evaluate:int0^(pi//2)(cosx)/(1+cosx+sinx)dx
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- Prove that: int0^pix/(1+cosalphasinx)dx=(pialpha)/(sinalpha)
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