Integral Of 1x31
The problem is that youve split up the second part of the partial fractions in an unhelpful way.
Integral of 1x31. Integrate 1x3 1 dx. Skip navigation sign in. This video is unavailable. Integral of 1x3 1.
Use partial fraction expansion and then integrate partial fraction expansion of 1x3 1. 1 is a root of the denominator therefore x 1 is a factor. What is the integral of int 1x3 1 dx. Calculus introduction to integration definite and indefinite integrals.
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You first have to break math1x31x1 xx2math. The 2nd degree expression at the end cannot be broken down further. Then you need to determine a b c. Rewrite it as x 3 and use the power rule int xn dx xn1n1.
This works with all fractional and negative powers except n 1. Table of basic integrals basic forms 1 z xndx 1 n 1 xn1. N6 1 2 z 1 x dx lnjxj 3 z udv uv z vdu 4 z 1 ax b dx 1 a lnjax bj integrals of rational.