Improper Integral – A sum of exponential functions on an infinite interval – Exercise 6989 Post category:Improper Integral Post comments:0 Comments Exercise Evaluate the integral ∫0∞[(12)x+(13)x]dx\int_{0}^{\infty}[{(\frac{1}{2})}^x+{(\frac{1}{3})}^x]dx∫0∞[(21)x+(31)x]dx Final Answer Show final answer ∫0∞[(12)x+(13)x]dx=1ln2+1ln3\int_{0}^{\infty}[{(\frac{1}{2})}^x+{(\frac{1}{3})}^x]dx=\frac{1}{\ln 2}+\frac{1}{\ln 3}∫0∞[(21)x+(31)x]dx=ln21+ln31 Solution Coming soon… Share with Friends Read more articles Previous PostImproper Integral – Functions difference to the power of 2 on an infinite interval – Exercise 6985 Next PostImproper Integral – A functions multiplication with roots on an infinite interval – Exercise 6991 You Might Also Like Improper Integral – Functions difference to the power of 2 on an infinite interval – Exercise 6985 August 21, 2019 Improper Integral – A multiplication of a polynomial and exponential functions on an infinite interval – Exercise 5406 May 17, 2019 Improper Integral – A rational function on an infinite interval – Exercise 6972 August 12, 2019 Improper Integral – A rational function on an infinite interval – Exercise 6974 August 12, 2019 Improper Integral – A rational function on an infinite interval – Exercise 6952 August 12, 2019 Improper Integral – A rational function on an infinite interval – Exercise 6943 August 12, 2019 Leave a Reply Cancel replyCommentEnter your name or username to comment Enter your email address to comment Enter your website URL (optional) Δ
Improper Integral – Functions difference to the power of 2 on an infinite interval – Exercise 6985 August 21, 2019
Improper Integral – A multiplication of a polynomial and exponential functions on an infinite interval – Exercise 5406 May 17, 2019