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2. ## The Following User Says Thank You to 598 For This Useful Post:

(03-22-2019)

3. ## :

$\begin{array}{l} Evaluate:\\ \left( 1 \right) & \int {x\,{{\csc }^2}x} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,,\,\ ,\,\,\,\,\left( 2 \right) & \int {{x^2}\,{{\tan }^{ - 1}}x} \,dx\,\,\,\,\,\,\,\\ \left( 3 \right) & \int {\,{{\csc }^3}x} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \,\,\,\,\,\,\,\,\,,\,\,\,\,\,\,\left( 4 \right) & \int {\frac{{x - \sin x}}{{1 - \cos x}}} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\\ \left( 5 \right) & \int {\,x{{\sin }^{ - 1}}x} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \,\,\,\,,\,\,\,\,\,\,\left( 6 \right) & \int {{x^3}\sqrt {{x^2} + 1} } \,dx\,\\ \left( 7 \right) & \int {\,\frac{{1 + x\ln x}}{x}{e^x}} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,,\,\ ,\,\,\,\,\left( 8 \right) & \int {\frac{{1 - \sin x}}{{1 - \cos x}}{e^x}} \,dx\\ \left( 9 \right) & \int {{{\tan }^{ - 1}}\sqrt {\frac{{1 - x}}{{1 + x}}} } \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,,\,\ ,\,\,\,\,\left( {10} \right) & \int {{x^2}\sqrt {2x + 3} } \,dx\\ \left( {11} \right) & \int {{{\sin }^{ - 1}}\sqrt {\frac{x}{{a + x}}} } \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,,\,\ ,\,\,\,\,\left( {12} \right) & \int {\ln \left( {x + \sqrt {{x^2} + 1} } \right)} \,dx\\ \left( {13} \right) & \int {\frac{{{x^2} + 1}}{{{{\left( {x + 1} \right)}^2}}}{e^x}} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, ,\,\,\,\,\,\,\left( {14} \right) & \int {\cos \left( {\ln x} \right)} \,dx\\ \left( {15} \right) & \int {\sqrt x \,{e^{ - \sqrt x }}} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \,\,\,\,\,\,,\,\,\,\,\,\,\left( {16} \right) & \int {{x^3}{e^{2x}}} \,dx\\ \left( {17} \right) & \int {x\sinh x} \,dx\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \,\,\,\,\,\,,\,\,\,\,\,\,\left( {18} \right) & \int {{x^5}{e^{{x^3}}}} \,dx \end{array}$

4. ## The Following User Says Thank You to For This Useful Post:

(03-22-2019)

7. ## The Following User Says Thank You to 598 For This Useful Post:

(03-23-2019)

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