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DIPTI PUBLICATION ( AP EAMET)-INDEFINITE INTEGRATION -EXERCISE 1C
- 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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- If I(n)= int (log x)^(n)dx then I(n)+nI(n-1)=
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- int (log x)^(4)dx=
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- int (log x)^(5)dx=
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- For x gt 0, if int(logx)^(5)dx=x(A(logx)^(5)+B(logx)^(4)+C(logx)^(3)+D...
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- If f(n)(x)=log log log ....log x(log is repeated n times, then int[(xf...
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- If I(n)=int x^(n)*e^(cx)dx for n le1 then c*I(n)+n*I(n-1)=c
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- If I(n) = int sin^(n)x dx, then nI(n)-(n-1)I(n-2)=
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- int sin^(5), dx=
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- int cos^(4)x dx=
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