Calculus-Online » Calculus Solutions » Integrals » Improper Integral » Improper Integral – A sum of exponential functions on an infinite interval – Exercise 6989

Improper Integral – A sum of exponential functions on an infinite interval – Exercise 6989

Exercise

Evaluate the integral

$\int_{0}^{\infty}[{(\frac{1}{2})}^x+{(\frac{1}{3})}^x]dx$

Final Answer

\int_{0}^{\infty}[{(\frac{1}{2})}^x+{(\frac{1}{3})}^x]dx=\frac{1}{\ln 2}+\frac{1}{\ln 3}

Solution

Coming soon…

Share with Friends