Simplificación general
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/ 2 \
| x |
atan|------------|
| ______|
| / 2 |
| / -b |
| / ---- |
| / 2 |
\\/ a /
------------------
______
/ 2
2 / -b
2*a * / ----
/ 2
\/ a
$$\frac{\operatorname{atan}{\left(\frac{x^{2}}{\sqrt{- \frac{b^{2}}{a^{2}}}} \right)}}{2 a^{2} \sqrt{- \frac{b^{2}}{a^{2}}}}$$
atan(x^2/sqrt(-b^2/a^2))/(2*a^2*sqrt(-b^2/a^2))
0.5*(-b^2/a^2)^(-0.5)*atan(x^2/sqrt((-b^2)/a^2))/a^2
0.5*(-b^2/a^2)^(-0.5)*atan(x^2/sqrt((-b^2)/a^2))/a^2
Unión de expresiones racionales
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/ 2 \
| x |
atan|------------|
| ______|
| / 2 |
| / -b |
| / ---- |
| / 2 |
\\/ a /
------------------
______
/ 2
2 / -b
2*a * / ----
/ 2
\/ a
$$\frac{\operatorname{atan}{\left(\frac{x^{2}}{\sqrt{- \frac{b^{2}}{a^{2}}}} \right)}}{2 a^{2} \sqrt{- \frac{b^{2}}{a^{2}}}}$$
atan(x^2/sqrt(-b^2/a^2))/(2*a^2*sqrt(-b^2/a^2))
Parte trigonométrica
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/ 2 \
| x |
atan|------------|
| ______|
| / 2 |
| / -b |
| / ---- |
| / 2 |
\\/ a /
------------------
______
/ 2
2 / -b
2*a * / ----
/ 2
\/ a
$$\frac{\operatorname{atan}{\left(\frac{x^{2}}{\sqrt{- \frac{b^{2}}{a^{2}}}} \right)}}{2 a^{2} \sqrt{- \frac{b^{2}}{a^{2}}}}$$
atan(x^2/sqrt(-b^2/a^2))/(2*a^2*sqrt(-b^2/a^2))
/ 2 \
| x |
atan|------------|
| ______|
| / 2 |
| / -b |
| / ---- |
| / 2 |
\\/ a /
------------------
______
/ 2
2 / -b
2*a * / ----
/ 2
\/ a
$$\frac{\operatorname{atan}{\left(\frac{x^{2}}{\sqrt{- \frac{b^{2}}{a^{2}}}} \right)}}{2 a^{2} \sqrt{- \frac{b^{2}}{a^{2}}}}$$
atan(x^2/sqrt(-b^2/a^2))/(2*a^2*sqrt(-b^2/a^2))
Denominador racional
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/ ______\
| / 2 |
| 2 2 / -b |
______ |a *x * / ---- |
/ 2 | / 2 |
/ -b | \/ a |
/ ---- *atan|------------------|
/ 2 | 2 |
\/ a \ b /
-------------------------------------
2
2*b
$$\frac{\sqrt{- \frac{b^{2}}{a^{2}}} \operatorname{atan}{\left(\frac{a^{2} x^{2} \sqrt{- \frac{b^{2}}{a^{2}}}}{b^{2}} \right)}}{2 b^{2}}$$
sqrt(-b^2/a^2)*atan(a^2*x^2*sqrt(-b^2/a^2)/b^2)/(2*b^2)
/ 2 \
| x |
atan|------------|
| ______|
| / 2 |
| / -b |
| / ---- |
| / 2 |
\\/ a /
------------------
______
/ 2
2 / -b
2*a * / ----
/ 2
\/ a
$$\frac{\operatorname{atan}{\left(\frac{x^{2}}{\sqrt{- \frac{b^{2}}{a^{2}}}} \right)}}{2 a^{2} \sqrt{- \frac{b^{2}}{a^{2}}}}$$
atan(x^2/sqrt(-b^2/a^2))/(2*a^2*sqrt(-b^2/a^2))
/ 2 \
| x |
atan|------------|
| ______|
| / 2 |
| / -b |
| / ---- |
| / 2 |
\\/ a /
------------------
______
/ 2
2 / -b
2*a * / ----
/ 2
\/ a
$$\frac{\operatorname{atan}{\left(\frac{x^{2}}{\sqrt{- \frac{b^{2}}{a^{2}}}} \right)}}{2 a^{2} \sqrt{- \frac{b^{2}}{a^{2}}}}$$
atan(x^2/sqrt(-b^2/a^2))/(2*a^2*sqrt(-b^2/a^2))
Abrimos la expresión
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/ 2 \
| x |
atan|------------|
| ______|
| / 2 |
| / -b |
| / ---- |
| / 2 |
\\/ a /
------------------
______
/ 2
2 / -b
2*a * / ----
/ 2
\/ a
$$\frac{\operatorname{atan}{\left(\frac{x^{2}}{\sqrt{- \frac{b^{2}}{a^{2}}}} \right)}}{2 a^{2} \sqrt{- \frac{b^{2}}{a^{2}}}}$$
/ 2 \
| x |
atan|------------------|
| ____ _____|
| / 1 / 2 |
| / -- *\/ -b |
| / 2 |
\\/ a /
------------------------
____ _____
2 / 1 / 2
2*a * / -- *\/ -b
/ 2
\/ a
$$\frac{\operatorname{atan}{\left(\frac{x^{2}}{\sqrt{- b^{2}} \sqrt{\frac{1}{a^{2}}}} \right)}}{2 a^{2} \sqrt{- b^{2}} \sqrt{\frac{1}{a^{2}}}}$$
atan(x^2/(sqrt(1/(a^2))*sqrt(-b^2)))/(2*a^2*sqrt(1/(a^2))*sqrt(-b^2))
Compilar la expresión
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/ 2 \
| x |
atan|------------|
| ______|
| / 2 |
| / -b |
| / ---- |
| / 2 |
\\/ a /
------------------
______
/ 2
2 / -b
2*a * / ----
/ 2
\/ a
$$\frac{\operatorname{atan}{\left(\frac{x^{2}}{\sqrt{\frac{\left(-1\right) b^{2}}{a^{2}}}} \right)}}{2 a^{2} \sqrt{- \frac{b^{2}}{a^{2}}}}$$
atan(x^2/sqrt((-b^2)/a^2))/(2*a^2*sqrt(-b^2/a^2))