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

cistG

cistG

Answered question

2021-02-14

Evaluate the following integral.
xx4dx

Answer & Explanation

Nathalie Redfern

Nathalie Redfern

Skilled2021-02-15Added 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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