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ACCURATE PUBLICATION-DEFINITE INTEGRALS-QUESTION CARRYING 2 MARKS
- Evaluate : int(pi/4)^(pi/2)cos2xlogsinxdx.
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- Evaluate : int(0)^(pi/2)(x+sinx)/(1+cosx)dx.
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- Evaluate : int(0)^(1)xe^(x^(2))dx
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- Evaluate : int(0)^(pi/2)(cos^(2)x)/(1+3sin^(2)x)dx
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- Evaluate : int(e)^(e^(2))(dx)/(xlogx)
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- Prove that : int(0)^(pi/4)(sqrt(tanx)+sqrt(cotx))dx=sqrt(2).pi/2.
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- Evaluate the definite integral: int(pi/6)^(pi/3) (sinx+cosx)/(sqrtsin2...
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- Evaluate int(0)^(pi/2)sin2xtan^(-1)(sinx)dx.
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- Evaluate : int(0)^(pi/2)2^(sinx)/(2^(sinx)+2^(cosx))dx.
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- Evaluate int(pi//6)^(pi//3) ((1)/(1+sqrttanx) dx
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- Evaluate int(0)^(pi//4)log(1+tan x)dx.
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- Evaluate int(-1)^(1)abs(2x+1)dx.
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