Question

evaluate:∫4dt/(5t+2) i need also the solution...tnx,.

Answer 1

you need 5 instead of 4 up top; so modify it as needed

Answer 2

amistre will help you find the antiderivative

Answer 3

\[\int\frac{4}{(5t+2)}dt\]
\[\int\frac{5}{5}*\frac{4}{(5t+2)}dt\]
\[\frac{4}{5}\int\frac{5}{(5t+2)}dt\implies\frac{4}{5}ln(5t+2)\]

Answer 4

use u = 5t +2 you will get
\[\ln(5t+2) \] but you need to adjust the constant

Answer 5

Can I add to your solution...

\[\frac{4}{5}\ln|5t+2|+c\]

Answer 6

..... lol

+ C

Answer 7

and \[|\cdot |\]

;)

Answer 8

thank you very much to all of u for the suggestions and answer...god bless...