Evaluate the following integrals.int(x/(sqrt(x-4))dx

aortiH

aortiH

Answered question

2021-01-13

Evaluate the following integrals.
(xx4dx).

Answer & Explanation

dieseisB

dieseisB

Skilled2021-01-14Added 85 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)2dt
=2(t2+4)dt
=2[t33+4t]+C
=2t33+8t+C
=23(x4)32+8x4+C

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