Integral X 1 X 2 Dx. Integral of 1/x^1/2 + x^1/3 dxWatch more videos at https//wwwtutorialspointcom/videotutorials/indexhtmLecture By Er Ridhi Arora.

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Explanation Use the exponent rule a−n = 1 an = ∫(x−2)dx Use the power rule of integration which states that ∫(xndx) = xn+1 n +1 + C where {n ∣ n ≠ − 1n ∈ R} As Jim H mentioned it is worth noting that when faced with ∫( 1 x)dx the integral is ln|x|+ C =20161120201608142016061920160429.

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$$\frac 1 {x^2 + 9} = \frac 1 {(x + 3i)(x 3i)} = \frac A {x + 3i} + \frac B {x 3i}$$ After finding the constants A and B it’s relatively simple to compute the integral ##\int \frac {dx}{x^2 + 9}## as it can now be written as two simpler integrals.

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