What is the average value of the function f(x)=e^{4}x^{2} on

Joaquin Salas

Joaquin Salas

Answered question

2022-04-17

What is the average value of the function f(x)=e4x2 on the interval [14,14]?

Answer & Explanation

razmenile7chp

razmenile7chp

Beginner2022-04-18Added 11 answers

The average value of the function f(x) on the interval [a,b] is equal to:
1baabf(x)dx
Thus here the average value is
114(14)1414e4x2dx=e4121414x2dx=2e4[x33]1414
=2e4[(13)33(14)33]=2e4[1192(1192)]=e448

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