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PRADEEP PUBLICATION-INTEGRALS-EXERCISE
- True or False: underset(-pi/2)overset(pi/2)int sin^3xdx=0.
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- True or False: underseta oversetb int f(x)dx, if it exists, is a uniqu...
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- True or False: underset0overset(pi/2)int log|sinx|dx ne underset0overs...
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- True or False: If f(2a-x)=-f(x), then underset0overset(2a)int f(x)dx=0...
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- True or False: If f is an odd function defined on an interval [-a,a], ...
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- True or False: If f is a periodic function with period p, then underse...
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- True or False: underset0overset(2pi)int sin^2xdx=4 underset0overset(pi...
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- True or False: underset0oversetpi int cos^2xdx ne 2underset0overset(pi...
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- True or False: int tan^-1x dx=xtan^-1x-1/2log(1+x^2)+C.
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- True or False: underset0overset(pi/2)int (sin^6x)/(sin^6x+cos^6x)dx=pi...
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- True or False: underseta oversetbint (f(x))/(f(x)+f(a+b-x))dx=(a+b)/2
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- True or False: int 1/(1-2x)dx=-1/2log|2x-1|+C and also int 1/(1-2x)dx=...
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- True or False: underset0overset(pi)int xsinxdx ne pi
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- True or False: underset0 overset(pi/2)int x(sinx+cosx)dx=pi/2
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- True or False: int (x+1)^2dx=(x+1)^3/3+C and also int (x+1)^2dx=1/3x^3...
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- True or False: underset0 overset(pi)int cos^5 x dx ne 0
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- int (x-sin x)/(1-cos x)dx
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- True or False: int (1+cosx)/(x+sinx)dx=log|1+cosx|+C
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- True or False: int (2x+1+cosx)/(x^2+x+sinx)dx=log|x^2+x+sinx|+C.
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- Match the statements given in columen I with those given in column II.
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