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DIPTI PUBLICATION ( AP EAMET)-INDEFINITE INTEGRATION -EXERCISE 1A
- int ( sin^(3)x+cos^(3)x)/(sin^(2)x cos^(2)x)dx=
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- int (3 cos^(2)x+4 sin^(2)x)/(cos^(2)xsin^(2)x)dx=
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- int (a cos^(3)x+b sin^(3)x)/(cos^(2)x sin^(2)x)dx=
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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 (e^(x)dx)/(cosh x + sin hx)=
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- int (sin hx)/(1+sin h^(2)x)dx
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- int sqrt(1 + 2 cot x ( cot x + cosecx ) ) dx =
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- int (1-cosx)"cosec"^(2)x dx=f(x)+c rArr f(x)=
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- int (1-cosx)"cosec"^(2)x dx=f(x)+c rArr f(x)=
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- int (x^(2)-1)/(x^(2)+1)dx=
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- int (x^(4))/(x^(2)+1)dx
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- int (x^(5))/(x^(2) + 1) dx =
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- int(1)/(x)[sqrt[x-1)/(sqrt(x+1])]dx=
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- int [(1)/(sqrt(1-x^(2)))+2^(x)+e^(x)]dx=
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- int (sqrt(1-x^(2))+sqrt(1+x^(2)))/(sqrt(1-x^(4)))dx=
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- int 2^(3x)3^(2x) 5^(x)dx=
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- int ((a^(x)+b^(x))^(2))/(a^(x)b^(x))dx=
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- int e^(3-5x)dx=
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- int e^(x log a) e^(x)dx=
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- int (1)/(sqrt(4-5x))dx=
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