LukeJV8757
14.07.2020 •
Mathematics
Evaluate the following integral using trigonometric substitution.
Integral from 7 StartRoot 49 - x2 EndRoot dx
1. What substitution will be the most helpful for evaluating thisintegral?
2. Find dx?
3. Rewrite the given integral using substitution.
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Ответ:
Step-by-step explanation:
1. Given the integral function , using trigonometric substitution, the substitution that will be most helpful in this case is substituting x as i.e .
All integrals in the form are always evaluated using the substitute given where 'a' is any constant.
From the given integral, where a = 7 in this case.
The substitute will therefore be
2.) Given
cross multiplying
3.) Rewriting the given integral using the substiution will result into;
Ответ:
Step-by-step explanation:
n+2n+1+5n-6=15
= 8n + 1 - 6= 15
= 8n + 1 - 6 + 6 = 15 + 6
= 8n +1 = 21
= 8n + 1 - 1 = 21 - 1
=8n = 20
= 8n / 8 = 20 / 8
= n = 2.5
the value of ‘n’ is 2.5