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PRADEEP PUBLICATION-INTEGRALS-EXERCISE
- underset0overset(pi/2)int sin^6xdx.
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- underset0overset(pi/2)int cos^6xdx.
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- underset0oversetaint (dx)/(a^2+ax-x^2)
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- underset(pi/4)overset(pi/2)int e^x(logsinx+cotx)dx
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- underset0overset1int (tan^-1xdx)
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- underset0overset1int xlog(1+2x)dx
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- underset0oversetpi int(cos2xlog(sinx)dx)
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- underset0overset1int((1-x^2)/(1+x^2))dx
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- underset(pi//6)overset(pi//2)int (cosx)/(sin(x/2)+cos(x/2))dx
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- underset(pi/2)overset(pi/3)int sqrt(1+cosx)/(1-cosx)^(5//2)dx
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- underset(pi/3)overset(pi/2)int sqrt(1-cosx)/(1+cosx)^(5//2)dx
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- underset(pi//6)overset(pi//2)int (cosx)/(sin(x/2)+cos(x/2))dx
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- underset0overset1int sin^-1((2x)/(1+x^2))dx
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- underset0overset(pi//2)int dx/(a^2cos^2x+b^2sin^2x)
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- underset0overset(pi//4)int (sin^2xcos^2x)/(sin^3x+cos^3x)^2dx
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- underset0overset1int (tan^-1xdx)
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- underset0oversetinftyint (xtan^-1x)/(1+x^2)dx
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- underset1overset2int (dx)/((x+1)sqrt(x^2-1))
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- underset0overset(1//2)int (dx)/((1+x^2)sqrt(1-x^2))
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- Evaluate the following integrals by changing the limits of integration...
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