What is &#x222B;<!-- ∫ --> 4 5 ( 4 t + 4 )

kadetskihykw

kadetskihykw

Answered question

2022-05-03

What is 4 5 ( 4 t + 4 ) d t?

Answer & Explanation

Assainato9gf

Assainato9gf

Beginner2022-05-04Added 15 answers

Cancel the common factor of 4 and 4t+4.
1 5 ( t + 1 ) d t
Since 1 5 is constant with respect to t, move 1 5 out of the integral.
1 5 1 t + 1 d t
Let u=t+1. Then du=dt. Rewrite using u and du.
1 5 1 u d u
The integral of 1 u with respect to u is ln ( | u | )
1 5 ( ln ( | u | ) + C )
Simplify
1 5 ln ( | u | ) + C
Replace all occurrences of u with t+1
1 5 ln ( | t + 1 | ) + C

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