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DIPTI PUBLICATION ( AP EAMET)-INDEFINITE INTEGRATION -EXERCISE 1C
- int ((x+1)dx)/(x(1+xe^(x)))=
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- int e^(x){(1-x)/(1+x^(2))}^2dx=
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- int e^(-x)(sin x-cos x)dx=
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- If int e^(x)(2+sin 2x)sec^(2)xdx=f(x)+c then f(x)=
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- int (e^(x)(x^(2)+1))/((1+x)^(2))dx=
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- int e^(x)(x+sqrt(1+x^(2)))(1+(1)/(sqrt(1+x^(2))))dx=
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- int e^(ax)[a f(x)+f' (x)]dx=
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- int (e^(x))/(sqrt(x))(1+2x)dx=
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- int|x|dx=
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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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- Evaluate the integerals. int e ^(x)cos x dx on R.
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- int e^(5x)sin 6xdx=
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- Evaluate the integerals. int e ^(ax) sin bx dx on R, a, b, in R.
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- Evaluate the following integrals int e^(x) sin 3 x cos 3x dx
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- int e^(Tan^(-1))((1+x+x^(2))/(1+x^(2)))dx=
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- int (log x-1)/((log x)^(2))dx=
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- int {((log x-1))/((1+(logx)^(2)))}^(2)dx=
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- int (x-(1)/(2) sin 2x)/(sin^(2)x)dx=
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- int e^(-x)Tan^(-1)(e^(x))dx=f (x)-(1)/(2)log (1+e^(2x))+c rArr f(x)=
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- If int f(x)dx=Psi(x), "then" int x^(5)f(x^(3))dx ie equal to :
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