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    \[\left( 2 \right)\,\,\,\int\limits_0^\infty {{e^{ - x}}\sin x} \,dx\,\,\,\] \[\left( 1 \right)\,\,\,\int\limits_0^8 {{e^{ - x}}} \,dx\]
    \[\,\,\left( 4 \right)\,\,\,\int\limits_0^\infty {{e^{ - 2x}}\cos 2x} \,dx\] \[\,\left( 3 \right)\,\,\,\int\limits_{ - \infty }^0 {\frac{{dx}}{{1 + {x^2}}}} \,\,\,\]
    \[\left( 6 \right)\,\,\,\int\limits_{ - \infty }^2 {{e^{2x}}} \,dx\] \[\,\left( 5 \right)\,\,\,\int\limits_{ - \infty }^0 {\frac{{dx}}{{{{\left( {2x - 1} \right)}^3}}}} \,\,\,\,\]
    \[\,\left( 8 \right)\,\,\,\int\limits_{ - \infty }^\infty {\frac{x}{{\sqrt {2 + {x^2}} }}} \,\,dx\] \[\,\,\left( 7 \right)\,\,\,\int\limits_{ - \infty }^\infty {\frac{{dx}}{{1 + {x^2}}}} \]
    \[\,\left( {10} \right)\,\,\,\int\limits_{ - \infty }^\infty {\frac{x}{{1 + {x^4}}}} \,\,dx\] \[\,\,\left( 9 \right)\,\,\,\int\limits_{ - \infty }^\infty {{x^3}} \,dx\,\,\,\,\,\]
    \[\,\left( {12} \right)\,\int\limits_0^1 {\frac{{dx}}{{{{\left( {x - 1} \right)}^2}}}} \,\] \[\left( {11} \right)\,\int\limits_0^1 {\frac{{dx}}{x}} \,\]
    ; 01-30-2019 12:04 AM

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