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inessss [21]
3 years ago
9

HELP ASAP PLEASE AND THANK YOU

Mathematics
2 answers:
faust18 [17]3 years ago
6 0

Answer:

j+278=296

Step-by-step explanation:

that is the equation because the total is the sum of j and 278 is equal to 296

Rus_ich [418]3 years ago
5 0
Eqn: j+278=276

the question wrote that the TOTAL of j and 278 is the same as 276, which means that j PLUS 278 is EQUAL to 276.

hope this helps :)
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Integrate xe^(-x^2).
Gekata [30.6K]
You can easily integrate it using a simple substitution:

\large\begin{array}{l} \mathsf{\displaystyle\int\!x\,e^{-x^2}\,dx}\\\\ =\mathsf{\displaystyle\int\!\left(-\frac{1}{2}\right)\cdot (-2)x\,e^{-x^2}\,dx}\\\\ =\mathsf{\displaystyle-\,\frac{1}{2}\int\!\,e^{-x^2}\cdot (-2x)\,dx\qquad\quad(i)}\\\\ \end{array}


\large\begin{array}{l} \textsf{Let}\\\\ \mathsf{-x^2=u,}\quad\textsf{then}\quad\mathsf{-2x\,dx=du}\\\\\\ \textsf{so (i) becomes}\\\\ =\mathsf{\displaystyle-\,\frac{1}{2}\int\!e^u\,du}\\\\ =\mathsf{\displaystyle-\,\frac{1}{2}\cdot e^u+C}\\\\ =\mathsf{\displaystyle-\,\frac{1}{2}\cdot e^{-2x}+C}\\\\\\ \boxed{\begin{array}{c} \mathsf{\displaystyle\int\!x\,e^{-x^2}\,dx=-\,\frac{1}{2}\,e^{-x^2}+C} \end{array}}\qquad\checkmark \end{array}


If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2159730


\large\textsf{I hope it helps. :-)}


Tags: <em>integrate substitution indefinite integral exponential composite calculus</em>

7 0
4 years ago
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