Questions tagged 'Fundamental integration'

• $\int_{{}}^{{}}{\sqrt{1-\sin 2x}\ }dx=........,\ \ x\in (0,\ \pi /4)$
  Category: indefinite-integration | Tags: Fundamental integration
• $\int_{{}}^{{}}{\frac{1+{{\cos }^{2}}x}{{{\sin }^{2}}x}dx}=$
  Category: indefinite-integration | Tags: Fundamental integration
• $\int_{{}}^{{}}{{{\sin }^{-1}}}(\cos x)dx=$
  Category: indefinite-integration | Tags: Fundamental integration
• $\int_{{}}^{{}}{\frac{dx}{\tan x+\cot x}}=$
  Category: indefinite-integration | Tags: Fundamental integration
• $\int_{{}}^{{}}{({{e}^{a\log x}}+{{e}^{x\log a}})dx}=$
  Category: indefinite-integration | Tags: Fundamental integration
• If $f'(x)={{x}^{2}}+5$ and $f(0)=-1$, then $f(x)=$
  Category: indefinite-integration | Tags: Fundamental integration
• $\int_{{}}^{{}}{{{\tan }^{-1}}\sqrt{\frac{1-\cos 2x}{1+\cos 2x}}}\ dx=$
  Category: indefinite-integration | Tags: Fundamental integration
• $\int_{{}}^{{}}{\frac{dx}{\sqrt{x}+\sqrt{x-2}}=}$
  Category: indefinite-integration | Tags: Fundamental integration
• $\int_{{}}^{{}}{\frac{\sin x}{\sin (x-\alpha )}dx=}$
  Category: indefinite-integration | Tags: Fundamental integration
• $\int_{{}}^{{}}{\frac{\cos x-1}{\cos x+1}\ dx=}$
  Category: indefinite-integration | Tags: Fundamental integration

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