General simplification
[src]
/ _______\ / _______\ _______
| / 4 + x | | / 4 + x | / 4 + x
- 2*log|-1 + / ----- | + 2*log|1 + / ----- | + x* / -----
\ \/ x / \ \/ x / \/ x
$$x \sqrt{\frac{x + 4}{x}} - 2 \log{\left(\sqrt{\frac{x + 4}{x}} - 1 \right)} + 2 \log{\left(\sqrt{\frac{x + 4}{x}} + 1 \right)}$$
-2*log(-1 + sqrt((4 + x)/x)) + 2*log(1 + sqrt((4 + x)/x)) + x*sqrt((4 + x)/x)
/ _______\ / _______\ _______
| / 4 | | / 4 | / 4
- 2*log|-1 + / 1 + - | + 2*log|1 + / 1 + - | + x* / 1 + -
\ \/ x / \ \/ x / \/ x
$$x \sqrt{1 + \frac{4}{x}} - 2 \log{\left(\sqrt{1 + \frac{4}{x}} - 1 \right)} + 2 \log{\left(\sqrt{1 + \frac{4}{x}} + 1 \right)}$$
-2*log(-1 + sqrt(1 + 4/x)) + 2*log(1 + sqrt(1 + 4/x)) + x*sqrt(1 + 4/x)
Rational denominator
[src]
/ _______\ / _______\ _______
| / 4 | | / 4 | / 4
- 2*log|-1 + / 1 + - | + 2*log|1 + / 1 + - | + x* / 1 + -
\ \/ x / \ \/ x / \/ x
$$x \sqrt{1 + \frac{4}{x}} - 2 \log{\left(\sqrt{1 + \frac{4}{x}} - 1 \right)} + 2 \log{\left(\sqrt{1 + \frac{4}{x}} + 1 \right)}$$
-2*log(-1 + sqrt(1 + 4/x)) + 2*log(1 + sqrt(1 + 4/x)) + x*sqrt(1 + 4/x)
/ _______\ / _______\ _______
| / 4 | | / 4 | / 4
- 2*log|-1 + / 1 + - | + 2*log|1 + / 1 + - | + x* / 1 + -
\ \/ x / \ \/ x / \/ x
$$x \sqrt{1 + \frac{4}{x}} - 2 \log{\left(\sqrt{1 + \frac{4}{x}} - 1 \right)} + 2 \log{\left(\sqrt{1 + \frac{4}{x}} + 1 \right)}$$
-2*log(-1 + sqrt(1 + 4/x)) + 2*log(1 + sqrt(1 + 4/x)) + x*sqrt(1 + 4/x)
Combining rational expressions
[src]
/ _______\ / _______\ _______
| / 4 + x | | / 4 + x | / 4 + x
- 2*log|-1 + / ----- | + 2*log|1 + / ----- | + x* / -----
\ \/ x / \ \/ x / \/ x
$$x \sqrt{\frac{x + 4}{x}} - 2 \log{\left(\sqrt{\frac{x + 4}{x}} - 1 \right)} + 2 \log{\left(\sqrt{\frac{x + 4}{x}} + 1 \right)}$$
-2*log(-1 + sqrt((4 + x)/x)) + 2*log(1 + sqrt((4 + x)/x)) + x*sqrt((4 + x)/x)
/ _______\ / _______\ _______
| / 4 | | / 4 | / 4
- 2*log|-1 + / 1 + - | + 2*log|1 + / 1 + - | + x* / 1 + -
\ \/ x / \ \/ x / \/ x
$$x \sqrt{1 + \frac{4}{x}} - 2 \log{\left(\sqrt{1 + \frac{4}{x}} - 1 \right)} + 2 \log{\left(\sqrt{1 + \frac{4}{x}} + 1 \right)}$$
-2*log(-1 + sqrt(1 + 4/x)) + 2*log(1 + sqrt(1 + 4/x)) + x*sqrt(1 + 4/x)
2.0*log(sqrt(4/x + 1) + 1) - 2.0*log(sqrt(4/x + 1) - 1) + 2.0*x*(0.25 + 1/x)^0.5
2.0*log(sqrt(4/x + 1) + 1) - 2.0*log(sqrt(4/x + 1) - 1) + 2.0*x*(0.25 + 1/x)^0.5
/ _______\ / _______\ _______
| / 4 | | / 4 | / 4
- 2*log|-1 + / 1 + - | + 2*log|1 + / 1 + - | + x* / 1 + -
\ \/ x / \ \/ x / \/ x
$$x \sqrt{1 + \frac{4}{x}} - 2 \log{\left(\sqrt{1 + \frac{4}{x}} - 1 \right)} + 2 \log{\left(\sqrt{1 + \frac{4}{x}} + 1 \right)}$$
-2*log(-1 + sqrt(1 + 4/x)) + 2*log(1 + sqrt(1 + 4/x)) + x*sqrt(1 + 4/x)
Assemble expression
[src]
/ _______ \ / _______ \ _______
| / 4 | | / 4 | / 4
- 2*log| / - + 1 - 1| + 2*log| / - + 1 + 1| + x* / 1 + -
\\/ x / \\/ x / \/ x
$$x \sqrt{1 + \frac{4}{x}} - 2 \log{\left(\sqrt{1 + \frac{4}{x}} - 1 \right)} + 2 \log{\left(\sqrt{1 + \frac{4}{x}} + 1 \right)}$$
-2*log(sqrt(4/x + 1) - 1) + 2*log(sqrt(4/x + 1) + 1) + x*sqrt(1 + 4/x)