Evaluate the following integral. \int \frac{x}{\sqrt{x-4}}dx

cistG 2021-02-14 Answered
Evaluate the following integral.
xx4dx
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Expert Answer

Nathalie Redfern
Answered 2021-02-15 Author has 99 answers
Step 1
Consider the integrals,
xx4dx
Suppose that,
x4=t
Differentiating with respect to "x"
12x4dx=dt
1x4dx=2dt
Step 2
Substitute all value in given integrals,
xx4dx=(t2+4)2 dt
=2(t2+4)dt
=2[t33+4t]+C
=2t33+8t+C
=23(x4)32+8(x4)+C
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