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Mathematics
Mathematics
Problem
Find the exact values of the integrals given below: a. (a)
∫
5
e
5
x
e
5
x
+
4
d
x
\displaystyle\int \dfrac{5e^{5x}}{e^{5x}+4}\,dx
∫
e
5
x
+
4
5
e
5
x
d
x
b. (b) Using your result from part (a), determine
∫
0
ln
2
5
5
e
5
x
e
5
x
+
4
d
x
\displaystyle\int_{0}^{\frac{\ln 2}{5}} \dfrac{5e^{5x}}{e^{5x}+4}\,dx
∫
0
5
l
n
2
e
5
x
+
4
5
e
5
x
d
x
.
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