Irvin Dukes
Answered
2021-12-20
Answer & Explanation
kalupunangh
Expert
2021-12-21Added 29 answers
Barbara Meeker
Expert
2021-12-22Added 38 answers
nick1337
Expert
2021-12-28Added 573 answers
Let us put the expression exp (x) under the sign of the differential, ie:
Then the original integral can be written as follows:
Let's
use the method of decomposition into simplest elements. Let us expand the function into the simplest terms:
Equate the numerators and take into account that the coefficients at the same powers of x , standing on the left and on the right, must coincide:
1=A(x+1)+B
x: A=0
1: A+B=1
Solving it, we find:
A=0; B=1;
We calculate the table integral:
NSK
Answer:
To write down the final answer, it remains to substitute exp (x) instead of t.
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