Evaluate the integral without using tables. \int_{0}^{1}\frac{dr}{r^{0.999}}

bobbie71G

bobbie71G

Answered question

2021-11-10

Evaluate the integral without using tables.
01drr0.999

Answer & Explanation

pattererX

pattererX

Skilled2021-11-11Added 95 answers

Step 1
Given,
I=01drr0.999
Step 2
On solving the above integral,
I=01r0.999dr
=[r0.999+10.999+1]01
=[r0.0010.001]01
=10.001[r0.001]01
=10.001[10.00100.001]
=10.001[10]
=10.001[1]
=10.001
=1000

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