Integral Calc: Find My Mistake - 4.75

[mikel29129]

Hi,

I believe I have a calculation mistake but I don't know where.
The correct answer is: 4.75

 

[BiGyElLoWhAt]

Sorry, but I can't read that clearly. Try typing up the problem along with your work. Use the \#\# (without the slashes) to begin and end latex code, \frac{numerator}{denominator} for fractions, \int_a^b for $\int_a^b$.

 

[Ray Vickson]

Sorry, but I can't read that clearly. Try typing up the problem along with your work. Use the \#\# (without the slashes) to begin and end latex code, \frac{numerator}{denominator} for fractions, \int_a^b for $\int_a^b$.

In LaTeX/TeX you can also use the "\ begin{\ cases } ... \ end{\ cases }" (with no spaces inside the { } pair or after the "\") command to get things like
$$f(x) = \begin{cases} f_1(x) & a \leq x < b\\ f_2(x) & b \leq x < c \end{cases}$$

To get a "displayed" result (rather than an in-line result), use "[ t e x] ... [/ t e x] " (with no spaces between /, t, e, x). If you use "# # ... # #" (no space) between the two initial and two final #) you will get an in-line result, like this: $f(x) = a x^2/(b^2+x^2)$. Some things do not look very good in-line, such as $f(x) = \frac{a x^2}{b^2 + x^2}$, but look just fine in displayed mode:
$$f(x) = \frac{a x^2}{b^2 + x^2}$$
However, the last issue is basically one of style, not clarity. The results generally look OK if you use $A/B$ in-line instead of $\frac{A}{B}$.

Finally, "_" and "^" work properly only for single-symbol subscripts and superscripts. To get multi-symbol scripts, enclose the script in curly brackets, so you will get $x^{2n}$ instead of $x^2n$.

You can see the commands for the above by right-clicking on the screen image of an equation or formula and asking for a display as tex commands.