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ACCURATE PUBLICATION-INDEFINITE INTEGRALS -QUESTIONS CARRYING 1 MARK - TYPE-III
- Two indefinite integrals with the same derivative are not equivalent.
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- check whether is correct int[f(x)+g(x)]dx=intf(x)dx+intg(x)dx.
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- Prove that for any positive integer k , (sin2k x)/(sinx)=2[cosx+cos3x...
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- All functions are integrable.
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- The integral of a function, when it exists, is not unique.
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- Integral at a point is not defined.
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- Integration is a process involving limits.
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- The integral is used is calculating the distance traversed when the ve...
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- When a polynomial P is integrated, the result is a polynomial whose de...
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- prove :int(sin^(2)x)/(1+cosx)dx=x+sinx+c.
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- All functions are not integrable.
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- The integral of a function, when it exists, is not unique.
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- Integral at a point is not defined.
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- Integration is a process involving limits.
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- The processes of differentation and integration are inverse of each ot...
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- prove: int(cos2x+2sin^(2)x)/(cos^(2)x)dx=tanx+c.
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- int(x+3)/(x^(2)+4x+3)dx=logabs(x+1)+c.
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- prove: int1/((logx)x)dx=log(logx)+c.
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- int(sin(x-alpha))/(sinx)dx=xcosalpha-sinalpha.logabs(sinx)+c.
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- prove:intxe^(x)dx=(x-1)e^(x)+c.
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