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

Ashley Bell

Ashley Bell

Answered question

2021-12-31

Evaluate the following integrals.
e34xdx

Answer & Explanation

Bubich13

Bubich13

Beginner2022-01-01Added 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
Bubich13

Bubich13

Beginner2022-01-02Added 36 answers

Given
e34xdx
et4dt
14etdt
Solve
14et
14e34x
e34x4
Answer:
e34x4+C
Vasquez

Vasquez

Expert2022-01-07Added 669 answers

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

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