Evaluating integrals Evaluate the following integral. \int_{0}^{\ln 2}\int_{e^{x}}^{2}dy dx

FobelloE 2021-10-13 Answered
Evaluating integrals Evaluate the following integral.
0ln2ex2dydx
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Expert Answer

SchulzD
Answered 2021-10-14 Author has 83 answers
Step 1
Concept:
The calculus helps in understanding the changes between values that are related by a function. It is used in different areas such as physics, biology and sociology and so on. The calculus is the language of engineers, scientists and economics.
Step 2
Given:
0ln2ex2dydx
the objective is to integrate the given integral.
Step 3
0ln2ex2dydx
On integrating
ex21dt=2ex
0ln2ex21dydx=0ln2(2ex)dx
0ln2(2ex)dx=2ln(2)1
0ln2ex21dydx=2ln(2)1
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