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SIA PUBLICATION-INDEFINITE INTEGRATION -PROBLEMS
- int (dx)/(x(logx-2)(logx-3))=I+c rArr I=
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- int (dx)/(x^(2)sqrt(4+x^(2)))=
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- If int sec^(2) x "cosec"^(4) x dx =-1/3 cos^(3)x + k tanx - 2cot x+c, ...
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- int (dx)/(sqrt(x-x^(2)))=
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- int(sqrt((a+x)/(a-x))) + sqrt((a-x)/(a+x))dx is equal to
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- If int (sin^(8)x-cos^(8)x)/(1-2sin^(2)cos^(2)x)dx=A sin 2x+B, then A=
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- int (1+cos4x)/(cotx-tanx)dx=
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- int (7x^(8)+8x^(7))/((1+x+x^(8))^(2))dx=f(x)+c rArr f(x)=
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- 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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