Questions tagged 'Fundamental definite integration'

• $\int_{0}^{1}{{{e}^{2\,\text{In}\,x}}\,dx}=$
  Category: definite-integral | Tags: Fundamental definite integration, Definite integration by substitution
• $\int_{0}^{\pi /4}{{{\tan }^{2}}x\,dx=}$
  Category: definite-integral | Tags: Fundamental definite integration, Definite integration by substitution
• $\int_{0}^{\pi /2}{\frac{x+\sin x}{1+\cos x}\,dx=}$
  Category: definite-integral | Tags: Fundamental definite integration, Definite integration by substitution
• $\int_{0}^{\pi /2}{{{e}^{x}}\sin x\,dx=}$
  Category: definite-integral | Tags: Fundamental definite integration, Definite integration by substitution
• $\int_{1}^{2}{{{e}^{x}}\left( \frac{1}{x}-\frac{1}{{{x}^{2}}} \right)\,dx=}$
  Category: definite-integral | Tags: Fundamental definite integration, Definite integration by substitution
• $\int_{0}^{\pi /2}{\frac{\cos x}{(1+\sin x)(2+\sin x)}}\,dx=$
  Category: definite-integral | Tags: Fundamental definite integration, Definite integration by substitution
• $\int_{\pi /3}^{\pi /2}{\frac{\sqrt{1+\cos x}}{{{(1-\cos x)}^{\frac{5}{2}}}}}\,dx=$
  Category: definite-integral | Tags: Fundamental definite integration, Definite integration by substitution
• $\int_{1}^{2}{\frac{1}{{{x}^{2}}}{{e}^{\frac{-1}{x}}}\,dx=}$
  Category: definite-integral | Tags: Fundamental definite integration, Definite integration by substitution
• $\int_{0}^{1}{{{\sin }^{-1}}\left( \frac{2x}{1+{{x}^{2}}} \right)\,dx=}$
  Category: definite-integral | Tags: Fundamental definite integration, Definite integration by substitution
• $\int_{1}^{e}{\frac{{{e}^{x}}}{x}(1+x\log x)\,dx}=$
  Category: definite-integral | Tags: Fundamental definite integration, Definite integration by substitution

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