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DIPTI PUBLICATION ( AP EAMET)-INDEFINITE INTEGRATION -EXERCISE 1A
- int (1)/(cos xsqrt(sin x cos x))dx=
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- int (sqrt(cotx))/(sin xcos x)dx=-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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- int (e^(x)-e^(-x))/(e^(x)+e^(-x))dx=
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- Evaluate the integerals. int (dx)/(1+e^(x)), x in R
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- int (e^(x))/(e^(x//2)-1)dx=
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- If int (e^(x)-1)/(e^(x)+1)dx=f(x)+c, then f(x)=
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- The integral int (1+x-(1)/(x))e^(x+1//x) dx is equal to
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- int (e^(x)+e^(-x))/((e^(x)-e^(-x)) log sin hx)dx=
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- int 5^(5^(5^(x)))*5^(5^(x))*5^(x)dx=
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- int((x^(2)-1)dx)/((x^(4)+3x^(2)+1)Tan^(-1)((x^(2)+1)/(x)))=
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- int (cos 2x)/(cos x)dx=
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- int (cos (x-a))/(sin x)dx=
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- If int (sin x)/(sin (x-alpha))dx=Ax+B log sin (x-alpha)+C, then value ...
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- int (sin (x-a))/(sin (x-b))dx=
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- int (sin(x-a))/(cos (x-b))dx=
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- int (1)/(sin(x-a)sin (x-b))dx=
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- int(dx)/(cos (x+4)cos(x+2)) =
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- int [(sqrt sin(x+alpha))/(sin(x-alpha))]dx=
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- int(f(x)g'(x)-f'(x)g(x))/(f(x)g(x)) [ log (g(x))-log(f(x))]dx=
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