https://c.top4top.net/p_1176zhek21.png
عرض للطباعة
\[\begin{array}{l}
Evaluate:\\
\left( 1 \right) & \int {x\,{{\csc }^2}x} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,,\,\ ,\,\,\,\,\left( 2 \right) & \int {{x^2}\,{{\tan }^{ - 1}}x} \,dx\,\,\,\,\,\,\,\\
\left( 3 \right) & \int {\,{{\csc }^3}x} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \,\,\,\,\,\,\,\,\,,\,\,\,\,\,\,\left( 4 \right) & \int {\frac{{x - \sin x}}{{1 - \cos x}}} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\\
\left( 5 \right) & \int {\,x{{\sin }^{ - 1}}x} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \,\,\,\,,\,\,\,\,\,\,\left( 6 \right) & \int {{x^3}\sqrt {{x^2} + 1} } \,dx\,\\
\left( 7 \right) & \int {\,\frac{{1 + x\ln x}}{x}{e^x}} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,,\,\ ,\,\,\,\,\left( 8 \right) & \int {\frac{{1 - \sin x}}{{1 - \cos x}}{e^x}} \,dx\\
\left( 9 \right) & \int {{{\tan }^{ - 1}}\sqrt {\frac{{1 - x}}{{1 + x}}} } \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,,\,\ ,\,\,\,\,\left( {10} \right) & \int {{x^2}\sqrt {2x + 3} } \,dx\\
\left( {11} \right) & \int {{{\sin }^{ - 1}}\sqrt {\frac{x}{{a + x}}} } \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,,\,\ ,\,\,\,\,\left( {12} \right) & \int {\ln \left( {x + \sqrt {{x^2} + 1} } \right)} \,dx\\
\left( {13} \right) & \int {\frac{{{x^2} + 1}}{{{{\left( {x + 1} \right)}^2}}}{e^x}} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, ,\,\,\,\,\,\,\left( {14} \right) & \int {\cos \left( {\ln x} \right)} \,dx\\
\left( {15} \right) & \int {\sqrt x \,{e^{ - \sqrt x }}} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \,\,\,\,\,\,,\,\,\,\,\,\,\left( {16} \right) & \int {{x^3}{e^{2x}}} \,dx\\
\left( {17} \right) & \int {x\sinh x} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \,\,\,\,\,\,,\,\,\,\,\,\,\left( {18} \right) & \int {{x^5}{e^{{x^3}}}} \,dx
\end{array}\]
السلام عليكم : السؤال الاول بالطباعة سقطت ء سهوا
++++++++++++++++++++
ملف مرفق 1072
================================
ملف مرفق 1073
++++++++++++++++++++++++++
ملف مرفق 1074
ملف مرفق 1069
السلام عليكم ورحمة وبركاته
=======================================
ملف مرفق 1075
==========================
ملف مرفق 1076
+++++++++++++++++++++++++++++++++
ملف مرفق 1077