Integrate the following with respect to x. (i) e^ax cos bx (ii) e^2x sin x (iii) e^-x cos 2x - Sarthaks eConnect | Largest Online Education Community
![Variant Gaussian Integral e^(-a x^2)cos(b x), from 0 to infinity, General Case, Feynman's trick - YouTube Variant Gaussian Integral e^(-a x^2)cos(b x), from 0 to infinity, General Case, Feynman's trick - YouTube](https://i.ytimg.com/vi/aHoB7t1mxb8/maxresdefault.jpg)
Variant Gaussian Integral e^(-a x^2)cos(b x), from 0 to infinity, General Case, Feynman's trick - YouTube
![SOLVED: An important technique in doing Gaussian integrals is to complete the square. If we need to do the following integral g = ∫∞ âˆ'∞ e^(-Ax ^2+Bx+C) dx, we can complete the square SOLVED: An important technique in doing Gaussian integrals is to complete the square. If we need to do the following integral g = ∫∞ âˆ'∞ e^(-Ax ^2+Bx+C) dx, we can complete the square](https://cdn.numerade.com/ask_images/e95ec8104f814fbebb9dcf038e553443.jpg)
SOLVED: An important technique in doing Gaussian integrals is to complete the square. If we need to do the following integral g = ∫∞ âˆ'∞ e^(-Ax ^2+Bx+C) dx, we can complete the square
![SOLVED: Use integration by parts to establish a reduction formula for the integral: ∫x^n * e^(-ax) dx SOLVED: Use integration by parts to establish a reduction formula for the integral: ∫x^n * e^(-ax) dx](https://cdn.numerade.com/ask_images/ddf41e7fc6f84536845091c873462ea0.jpg)
SOLVED: Use integration by parts to establish a reduction formula for the integral: ∫x^n * e^(-ax) dx
![Integrals of the form e pow(ax) cos bx and e pow(ax) sin bx - Equation, Solved Example Problems | Mathematics Integrals of the form e pow(ax) cos bx and e pow(ax) sin bx - Equation, Solved Example Problems | Mathematics](https://img.brainkart.com/imagebk37/2k0nSw7.jpg)
Integrals of the form e pow(ax) cos bx and e pow(ax) sin bx - Equation, Solved Example Problems | Mathematics
![calculus - why $\int_{-\infty}^{\infty} \left\vert e^{-ax} \right\vert^{2} dx = \int_{0}^{\infty} e^{-2ax}dx$ - Mathematics Stack Exchange calculus - why $\int_{-\infty}^{\infty} \left\vert e^{-ax} \right\vert^{2} dx = \int_{0}^{\infty} e^{-2ax}dx$ - Mathematics Stack Exchange](https://i.stack.imgur.com/zEiIP.png)
calculus - why $\int_{-\infty}^{\infty} \left\vert e^{-ax} \right\vert^{2} dx = \int_{0}^{\infty} e^{-2ax}dx$ - Mathematics Stack Exchange
![Integrals of the form e pow(ax) cos bx and e pow(ax) sin bx - Equation, Solved Example Problems | Mathematics Integrals of the form e pow(ax) cos bx and e pow(ax) sin bx - Equation, Solved Example Problems | Mathematics](https://img.brainkart.com/imagebk37/xoCajI9.jpg)