يومياتي في التفاضل والتكامل

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الحل معاد بسبب اخطاء في التنزيل

ملف مرفق 935
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جد ان امكن كلا من

\[\left( 2 \right)\,\,\,\int\limits_0^\infty {{e^{ - x}}\sin x} \,dx\,\,\,\]	\[\left( 1 \right)\,\,\,\int\limits_0^8 {{e^{ - x}}} \,dx\]
\[\,\,\left( 4 \right)\,\,\,\int\limits_0^\infty {{e^{ - 2x}}\cos 2x} \,dx\]	\[\,\left( 3 \right)\,\,\,\int\limits_{ - \infty }^0 {\frac{{dx}}{{1 + {x^2}}}} \,\,\,\]
\[\left( 6 \right)\,\,\,\int\limits_{ - \infty }^2 {{e^{2x}}} \,dx\]	\[\,\left( 5 \right)\,\,\,\int\limits_{ - \infty }^0 {\frac{{dx}}{{{{\left( {2x - 1} \right)}^3}}}} \,\,\,\,\]
\[\,\left( 8 \right)\,\,\,\int\limits_{ - \infty }^\infty {\frac{x}{{\sqrt {2 + {x^2}} }}} \,\,dx\]	\[\,\,\left( 7 \right)\,\,\,\int\limits_{ - \infty }^\infty {\frac{{dx}}{{1 + {x^2}}}} \]
\[\,\left( {10} \right)\,\,\,\int\limits_{ - \infty }^\infty {\frac{x}{{1 + {x^4}}}} \,\,dx\]	\[\,\,\left( 9 \right)\,\,\,\int\limits_{ - \infty }^\infty {{x^3}} \,dx\,\,\,\,\,\]
\[\,\left( {12} \right)\,\int\limits_0^1 {\frac{{dx}}{{{{\left( {x - 1} \right)}^2}}}} \,\]	\[\left( {11} \right)\,\int\limits_0^1 {\frac{{dx}}{x}} \,\]

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