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SIA PUBLICATION-INDEFINITE INTEGRATION -PROBLEMS
- If f(n)(x) = log log…..log x(log is repeated n-times), then int (xf(1)...
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- int (1-cosx)"cosec"^(2)x dx=f(x)+c rArr f(x)=
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- int (dx)/((x+1)sqrt(4x+3))=
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- int(2-sin 2x)/(1-cos2x)e^(x) dx is equal to
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- If I(n) = int(sin^(n))dx, then nI(n)-(n-1)I(n-1) equals to
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- If int(e^(x))(1-sinx)/(1-cosx)dx=f(x) constant, then f(x) is equal to
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- If I(n)= intx^(n) e^(cx) dx for n ge 1, then c, I(n) + nI(n-1) is equa...
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- If inte^(x)(1+x) sec^(2)(xe^(x))dx = f(x) + constant, then f(x) is equ...
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- If int(e^(x)-1)/(e^(x)+1)dx = f(x)+c, then f(x) is equal to
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- int tan^(-1) (sqrt((1-x)/(1+x)))dx is equal to
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- int(sinx + 8 cosx)/(4 sinx + 6 cosx)dx is equal to
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- Assertion (A) (x^(2)-1)/(x^(2))e^(x^(2)+1)/x dx = e^(x^(2)+1)/x + c ...
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- If intsqrt(x/(a^(3)-x^(3)))dx = g(x)+c, then g(x) is equal to
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- If int(dx)/(x^(2) + 2x+2) =f(x) +c, then f(x) is equal to
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- If int(sinx)/(cosx(1+cosx))dx = f(x)+c, then f(x) is equal to
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- If int(x^(49)tan^(-1)(x^(50))/(1+x^(100)))dx = k(tan^(-1)(x^(50))^(2)+...
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- If int sin^(-1)(2x)/(1+x^(2))dx = f(x) - log(1+x^(2))+c, then f(x) is ...
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- int (dx)/((x+100)sqrt(x+99))=f(x)+c rArr f(x)=
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- int (3-x^(2))/(1-2x+x^(2))e^(x)dx=e^(x)f(x)+c rArr f(x)=
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- int (sqrt(cotx))/(sin xcos x)dx=-f (x)+c rArr f(x)=
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