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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
- If intx/((x-1)(2x-1))=int[A/(x-1)+B/(2x-1)]dx find A and B.
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- Evaluate int1/(2sinx+3cosx)dx.
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- Evaluate intcos^4xdx.
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- Evaluate int"cos2x"/(sin7xcos5x)dx.
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- Evaluate int sec^2 theta/(cos2 theta+2sin^2 theta)d theta
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- Evaluate inte^x((1+sinx)/(1+cosx))dx.
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- Evaluate inte^(tan^(-1))x((1+x+x^2)/(1+x^2))dx.
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- Evaluate int(sin^-1x)/(1-x^2)^(3//2)dx.
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- intsin^-1sqrt(x/(a+x))dx=.
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- Evaluate int sqrt(tanx)/(sinxcosx).
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- Evaluate underset(0)overset(1)int(x^2)/(x^2+1)dx.
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- Evaluate oversetlimunderset(xrarr0)"(underset0overset(x^2)intsinsqrttd...
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- Evaluate underset(0)overset(pi//2)intxsinxdx.
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- Evaluate underset(-1)overset(3)int{|x|+[x]}dx.
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- Evaluate underset(-3)overset3int|x+1|dx.
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- underset(0)overset(10)intsin(x-[x])pidx
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- If f(x)=underset(1)overset(x^2)inttan^(-1)sqrttdt,tgt0, find f' (1).
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- f(x)=1/x^2underset(2)overset(x)int[t^2+f(t)]dt, find f (2)
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- If f(x)=cosx-underset(0)overset(x)int(x-1)f(t)dt, then find f''(x)+f(x...
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- Evaluate I=underset(0)overset(4)int[sqrtx]dx.
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