Evaluate the following integrals. \int e^{3-4x}dx

Ashley Bell 2021-12-31 Answered
Evaluate the following integrals.
e34xdx
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Expert Answer

Bubich13
Answered 2022-01-01 Author has 36 answers
Step 1
Given integral:
e34xdx
Substitute t=3-4x and differentiate it w.r.t "x"
dtdx=ddx(34x)
dtdx=4
dt4=dx
Therefore, the given integral becomes,
14etdt
Step 2
We know that
exdx=ex+c
Where, "c" is integration constant.
14et+c
Substitute t=3-4x in above equation, we get
14e(34x)+c
e(34x)4+c
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Bubich13
Answered 2022-01-02 Author has 36 answers
Given
e34xdx
et4dt
14etdt
Solve
14et
14e34x
e34x4
Answer:
e34x4+C
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Vasquez
Answered 2022-01-07 Author has 460 answers

e34xdx=14eudueudu=eu14eudu=eu4u=34x:=e34x4Solution:=e34x4+C

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