\[\begin{array}{l}
Evaluate:\\
\left( 1 \right) & \int {x\,{{\csc }^2}x} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,,\,\ ,\,\,\,\,\left( 2 \right) & \int {{x^2}\,{{\tan }^{ - 1}}x} \,dx\,\,\,\,\,\,\,\\
\left( 3 \right) & \int {\,{{\csc }^3}x} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \,\,\,\,\,\,\,\,\,,\,\,\,\,\,\,\left( 4 \right) & \int {\frac{{x - \sin x}}{{1 - \cos x}}} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\\
\left( 5 \right) & \int {\,x{{\sin }^{ - 1}}x} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \,\,\,\,,\,\,\,\,\,\,\left( 6 \right) & \int {{x^3}\sqrt {{x^2} + 1} } \,dx\,\\
\left( 7 \right) & \int {\,\frac{{1 + x\ln x}}{x}{e^x}} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,,\,\ ,\,\,\,\,\left( 8 \right) & \int {\frac{{1 - \sin x}}{{1 - \cos x}}{e^x}} \,dx\\
\left( 9 \right) & \int {{{\tan }^{ - 1}}\sqrt {\frac{{1 - x}}{{1 + x}}} } \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,,\,\ ,\,\,\,\,\left( {10} \right) & \int {{x^2}\sqrt {2x + 3} } \,dx\\
\left( {11} \right) & \int {{{\sin }^{ - 1}}\sqrt {\frac{x}{{a + x}}} } \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,,\,\ ,\,\,\,\,\left( {12} \right) & \int {\ln \left( {x + \sqrt {{x^2} + 1} } \right)} \,dx\\
\left( {13} \right) & \int {\frac{{{x^2} + 1}}{{{{\left( {x + 1} \right)}^2}}}{e^x}} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, ,\,\,\,\,\,\,\left( {14} \right) & \int {\cos \left( {\ln x} \right)} \,dx\\
\left( {15} \right) & \int {\sqrt x \,{e^{ - \sqrt x }}} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \,\,\,\,\,\,,\,\,\,\,\,\,\left( {16} \right) & \int {{x^3}{e^{2x}}} \,dx\\
\left( {17} \right) & \int {x\sinh x} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \,\,\,\,\,\,,\,\,\,\,\,\,\left( {18} \right) & \int {{x^5}{e^{{x^3}}}} \,dx
\end{array}\]
; 03-22-2019 10:57 PM
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SAlah Q6.jpg
; 03-26-2019 11:10 PM
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SAlah Q8.jpg
; 03-26-2019 11:21 PM
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SAlah Q12.jpg
; 03-26-2019 11:13 PM
[URL="http://alnasiry.net/forums"][IMG]http://alnasiry.net/forums/uploaded/2_iraqiflag.gif[/IMG][/URL]
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SAlah Q3.jpg
; 03-26-2019 11:22 PM
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SAlah Q11.jpg
; 03-26-2019 11:16 PM
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SAlah Q15.jpg
; 03-26-2019 11:17 PM
: 1 (0 1 )
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