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whuber ♦
whuber ♦
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Use simulation with antithetic variables andto find

$$\int_{-\infty}^{\infty} \int_0^\infty\, sin(x+y)e^{-x^2+4x-y}\,dx\,dy,$$$$\int_{-\infty}^{\infty} \int_0^\infty\, \sin(x+y)e^{-x^2+4x-y}\,dx\,dy.$$ so, myMy question and doubt is, how struggle with the infinite limit  ?

It is easy tofor me this problemto solve similar problems like $\int_0^1e^x\,dx$ or similar, but I do not know how to do the previous.

Help me pleasestated one.

Use simulation with antithetic variables and find

$$\int_{-\infty}^{\infty} \int_0^\infty\, sin(x+y)e^{-x^2+4x-y}\,dx\,dy,$$ so, my question and doubt is how struggle with the infinite limit  ?

It is easy to me this problem $\int_0^1e^x\,dx$ or similar, but do not know how the previous.

Help me please.

Use simulation with antithetic variables to find

$$\int_{-\infty}^{\infty} \int_0^\infty\, \sin(x+y)e^{-x^2+4x-y}\,dx\,dy.$$ My question is, how struggle with the infinite limit?

It is easy for me to solve similar problems like $\int_0^1e^x\,dx$, but I do not know how to do the stated one.

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albert
albert
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Use simulation with antithetic variables and find

$$\int_{-\infty}^{\infty} \int_0^\infty\, sin(x+y)e^{x^2+4x-y}\,dx\,dy,$$$$\int_{-\infty}^{\infty} \int_0^\infty\, sin(x+y)e^{-x^2+4x-y}\,dx\,dy,$$ so, my question and doubt is how struggle with the infinite limit ?

It is easy to me this problem $\int_0^1e^x\,dx$ or similar, but do not know how the previous.

Help me please.

Use simulation with antithetic variables and find

$$\int_{-\infty}^{\infty} \int_0^\infty\, sin(x+y)e^{x^2+4x-y}\,dx\,dy,$$ so, my question and doubt is how struggle with the infinite limit ?

It is easy to me this problem $\int_0^1e^x\,dx$ or similar, but do not know how the previous.

Help me please.

Use simulation with antithetic variables and find

$$\int_{-\infty}^{\infty} \int_0^\infty\, sin(x+y)e^{-x^2+4x-y}\,dx\,dy,$$ so, my question and doubt is how struggle with the infinite limit ?

It is easy to me this problem $\int_0^1e^x\,dx$ or similar, but do not know how the previous.

Help me please.

Source Link
albert
albert
  • 313
  • 1
  • 12

Calculating integral with antithetic variables

Use simulation with antithetic variables and find

$$\int_{-\infty}^{\infty} \int_0^\infty\, sin(x+y)e^{x^2+4x-y}\,dx\,dy,$$ so, my question and doubt is how struggle with the infinite limit ?

It is easy to me this problem $\int_0^1e^x\,dx$ or similar, but do not know how the previous.

Help me please.