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DIPTI PUBLICATION ( AP EAMET)-INDEFINITE INTEGRATION -EXERCISE 1A
- int (e^(x))/(sqrt(1+(e^(x))))dx=
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- int (1)/(sqrt(x))cos (sqrt(x))dx=
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- int (2)/(x[1+(logx)^(2)])dx=
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- int sin^(3)x cos x dx=
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- int sec^(2) x tan^(2) x dx=
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- int sin^(5//2) x cos^(3) x dx=
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- int tan^(4) x dx=
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- int ((1+x)e^(x))/(sin^(2)(x e^(x)))dx=
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- int ((1+x)e^(x))/(cos^(2)( xe^(x)))dx=
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- int e^(sin^(2)x + cos x) (sin 2x-sin x)dx=
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- int (x^3)/(sqrt(1-x^(8)))dx=
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- int [(sqrt(x))/sqrt(a^(3)-x^(3))]dx=g(x)+c rArr g(x)=
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- int (dx)/(x^(2)sqrt(4+x^(2)))=
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- int (x)/(1+x^(4))dx=
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- int (x^(3))/(1+x^(8))dx=
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- int (x^(4)+1)/(1+x^(6))dx=
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- int (x^(3)-1)/(x^(3)+x)dx=
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- int (x^(3)+1)/(x^(2)+1)dx
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- The integral int (dx)/(x^(2)(x^(4)+1)^(3//4)) equals
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- the integral int (2x^(12)+5x^(9))/((x^(5)+x^(3)+1)^(3))dx is equal to
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