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DIPTI PUBLICATION ( AP EAMET)-INDEFINITE INTEGRATION -EXERCISE 1B
- If int (dx)/(x-x^(3))=A log |(x^(2))/(1-x^(2))|+c then A=
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- int (1)/((x-2)(x^(2)+1))dx=
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- int (1)/(x(x^(8)-1))dx=
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- int (1)/((x^(2)-1)(x^(2)+2))dx=
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- int (1)/((x^(2)+a^(2))(x^(2)+b^(2)))dx=
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- int (x^(2)-1)/((x^(2)+1)(x^(2)+2)(x^(2)+3))dx=
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- int (1)/(a^(4)-x^(4))dx=
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- int (e^(x))/((e^(x)+2)(e^(x)-1))dx=
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- int (e^(x))/(e^(2x)+2e^(x)+5)dx=
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- int (1)/(e^(x)+2e^(-x)-3)dx=
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- int (dx)/(x(logx-2)(logx-3))=I+c rArr I=
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- int (sinx)/(cos x(1+ cos x))dx= f(x)+ c rArr f(x)=
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- int (x^(2))/(x^(6)+2x^(3)+2)dx=
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- int (cos x)/(2 sin^(2)x-3 sinx+4)dx=
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- int (cot x)/(1+sin^(2)x)dx=
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- int(tanx)/(1+cosx)dx=
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- int(tanx)/(1+cosx)dx=
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- If int (x^(2)-a^(2))/(x^(2)+a^(2))dx=x+k "tan"^(-1)(x)/(a)+c then k=
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- int (dx)/(xsqrt(1-x^(3)))=
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- If int (2x^(2)+a^(2))/(x^(2)(x^(2)+a^(2)))dx=(k)/(x)+(1)/(a)"Tan"^(-1)...
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