Questions tagged 'Integration by parts'

• $\int_{{}}^{{}}{{{e}^{x}}(1+\tan x)\sec x\ dx=}$
  Category: indefinite-integration | Tags: Integration by parts
• $\int_{{}}^{{}}{\frac{x{{e}^{x}}}{{{(1+x)}^{2}}}dx=}$
  Category: indefinite-integration | Tags: Integration by parts
• $\int_{{}}^{{}}{{{e}^{x}}[\tan x-\log (\cos x)]\ dx=}$
  Category: indefinite-integration | Tags: Integration by parts
• $\int_{{}}^{{}}{{{e}^{x}}\sin x(\sin x+2\cos x)}\ dx=$
  Category: indefinite-integration | Tags: Integration by parts
• $\int_{{}}^{{}}{{{e}^{2x}}\frac{1+\sin 2x}{1+\cos 2x}}\ dx=$
  Category: indefinite-integration | Tags: Integration by parts
• $\int_{{}}^{{}}{\frac{{{e}^{x}}(x-1)}{{{x}^{2}}}\ dx=}$
  Category: indefinite-integration | Tags: Integration by parts
• $\int_{{}}^{{}}{{{e}^{x}}\left[ \frac{1+x\log x}{x} \right]\ dx=}$
  Category: indefinite-integration | Tags: Integration by parts
• $\int_{{}}^{{}}{{{e}^{x}}\left[ {{\sin }^{-1}}\frac{x}{a}+\frac{1}{\sqrt{{{a}^{2}}-{{x}^{2}}}} \right]dx=}$
  Category: indefinite-integration | Tags: Integration by parts
• $\int_{{}}^{{}}{{{e}^{x}}\frac{({{x}^{2}}+1)}{{{(x+1)}^{2}}}dx=}$
  Category: indefinite-integration | Tags: Integration by parts
• $\int_{{}}^{{}}{{{e}^{x}}\left( \frac{1}{x}-\frac{1}{{{x}^{2}}} \right)}\,dx=$
  Category: indefinite-integration | Tags: Integration by parts

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