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Mathematics
Mathematics
Problem
Answer the following questions about the exponential function given below. a. (i) Find the indefinite integral
∫
e
(
x
4
−
2
)
d
x
\displaystyle \int e^{\left(\frac{x}{4}-2\right)}\,dx
∫
e
(
4
x
−
2
)
d
x
. b. (ii) Using the antiderivative obtained in part (i), evaluate
∫
0
4
e
(
x
4
−
2
)
d
x
\displaystyle \int_{0}^{4} e^{\left(\frac{x}{4}-2\right)}\,dx
∫
0
4
e
(
4
x
−
2
)
d
x
. Leave your answer in simplest exact form.
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