ag-gipp/GoUldI

<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mrow><msup><mrow><mo rspace="0.3em" lspace="0em" stretchy="true" fence="true" form="prefix">(</mo><msup><mi>&#x003B1;</mi><mn>2</mn></msup><mo>+</mo><mi>&#x003B7;</mi><mo rspace="0em" lspace="0.3em" stretchy="true" fence="true" form="postfix">)</mo></mrow><mrow><mn>1</mn><mo>&#x0002F;</mo><mn>2</mn></mrow></msup><mo>+</mo><mstyle scriptlevel="0" displaystyle="false"><mrow><mfrac linethickness="1"><mn>1</mn><mn>2</mn></mfrac></mrow></mstyle><mi>&#x003B1;</mi><mi>ln</mi><mi>&#x003B7;</mi><mo>-</mo><mi>&#x003B1;</mi><mi>ln</mi><mrow><mo rspace="0.3em" lspace="0em" stretchy="true" fence="true" form="prefix">(</mo><msup><mrow><mo rspace="0.3em" lspace="0em" stretchy="true" fence="true" form="prefix">(</mo><msup><mi>&#x003B1;</mi><mn>2</mn></msup><mo>+</mo><mi>&#x003B7;</mi><mo rspace="0em" lspace="0.3em" stretchy="true" fence="true" form="postfix">)</mo></mrow><mrow><mn>1</mn><mo>&#x0002F;</mo><mn>2</mn></mrow></msup><mo>+</mo><mi>&#x003B1;</mi><mo rspace="0em" lspace="0.3em" stretchy="true" fence="true" form="postfix">)</mo></mrow></mrow><mo>=</mo><mrow><mi>arccos</mi><mrow><mo rspace="0.3em" lspace="0em" stretchy="true" fence="true" form="prefix">(</mo><mfrac linethickness="1"><mi>x</mi><mrow><msup><mrow><mo rspace="0.3em" lspace="0em" stretchy="true" fence="true" form="prefix">(</mo><mn>1</mn><mo>+</mo><msup><mi>&#x003B1;</mi><mn>2</mn></msup><mo rspace="0em" lspace="0.3em" stretchy="true" fence="true" form="postfix">)</mo></mrow><mrow><mn>1</mn><mo>&#x0002F;</mo><mn>2</mn></mrow></msup></mrow></mfrac><mo rspace="0em" lspace="0.3em" stretchy="true" fence="true" form="postfix">)</mo></mrow><mo>+</mo><mfrac linethickness="1"><mi>&#x003B1;</mi><mn>2</mn></mfrac><mi>ln</mi><mrow><mo rspace="0.3em" lspace="0em" stretchy="true" fence="true" form="prefix">(</mo><mfrac linethickness="1"><mrow><mn>1</mn><mo>+</mo><msup><mi>&#x003B1;</mi><mn>2</mn></msup><mo>+</mo><mo rspace="0.3em" lspace="0em" stretchy="true" fence="true" form="prefix">(</mo><msup><mi>&#x003B1;</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn><mo rspace="0em" lspace="0.3em" stretchy="true" fence="true" form="postfix">)</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn><mi>&#x003B1;</mi><mi>x</mi><msup><mrow><mo rspace="0.3em" lspace="0em" stretchy="true" fence="true" form="prefix">(</mo><mn>1</mn><mo>+</mo><msup><mi>&#x003B1;</mi><mn>2</mn></msup><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo rspace="0em" lspace="0.3em" stretchy="true" fence="true" form="postfix">)</mo></mrow><mrow><mn>1</mn><mo>&#x0002F;</mo><mn>2</mn></mrow></msup></mrow><mrow><mo rspace="0.3em" lspace="0em" stretchy="true" fence="true" form="prefix">(</mo><mn>1</mn><mo>+</mo><msup><mi>&#x003B1;</mi><mn>2</mn></msup><mo rspace="0em" lspace="0.3em" stretchy="true" fence="true" form="postfix">)</mo><mo rspace="0.3em" lspace="0em" stretchy="true" fence="true" form="prefix">(</mo><mn>1</mn><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo rspace="0em" lspace="0.3em" stretchy="true" fence="true" form="postfix">)</mo></mrow></mfrac><mo rspace="0em" lspace="0.3em" stretchy="true" fence="true" form="postfix">)</mo></mrow></mrow></mrow></math>