Questions tagged 'Properties of definite integration'

• $\int_{0}^{\pi }{x}\,f\,(\sin x)\,dx=$
  Category: definite-integral | Tags: Properties of definite integration
• $\int_{-4}^{4}{|x+2|\,dx}=$
  Category: definite-integral | Tags: Properties of definite integration
• $\int_{0}^{\pi /2}{\frac{\sqrt{\cot x}}{\sqrt{\cot x}+\sqrt{\tan x}}\,dx=}$
  Category: definite-integral | Tags: Properties of definite integration
• $\int_{0}^{\pi /2}{\frac{d\theta }{1+\tan \theta }}=$
  Category: definite-integral | Tags: Properties of definite integration
• If $f(x)=\int_{a}^{x}{{{t}^{3}}{{e}^{t}}\,dt\,,}$ then $\frac{d}{dx}\,f(x)=$
  Category: definite-integral | Tags: Properties of definite integration
• $\int_{-1}^{1}{x\,|x|\,}dx=$
  Category: definite-integral | Tags: Properties of definite integration
• $\int_{0}^{\pi }{x\log \sin x}\,dx=$
  Category: definite-integral | Tags: Properties of definite integration
• $\int_{0}^{\pi /2}{\,\,\log \tan x\,dx=}$
  Category: definite-integral | Tags: Properties of definite integration
• $\int_{0}^{\pi /2}{{}}\log \sin x\,dx=$
  Category: definite-integral | Tags: Properties of definite integration
• $\int_{0}^{\pi /2}{\frac{\cos x-\sin x}{1+\sin x\cos x}}\,dx=$
  Category: definite-integral | Tags: Properties of definite integration

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