Tasa de finalización
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Určení hodnoty integrálu
Urči hodnoty určitého integrálu pomocí substituce:
\large{\displaystyle\int\limits_0^{\Large\frac{\pi}{2}}\left(\sin^2{x}\cdot\cos{x}\right){d}x}
\large \left[ \Large \frac{u^3}{2}\large \right] ^1_0 = \Large \frac{1^3}{2}\large -\Large \frac{0^3}{2}\large = \Large \frac{1}{2}\large
\large \left[ \Large \frac{u^2}{2}\large \right] ^1_0 = \Large \frac{1^2}{2}\large -\Large \frac{0^2}{2}\large = \Large \frac{1}{2}\large
\large \left[ \Large \frac{u^3}{3}\large \right] ^1_0 = \Large \frac{1^3}{3}\large -\Large \frac{0^3}{3}\large = \Large \frac{1}{3}\large
\large \left[ \Large \frac{u^4}{4}\large \right] ^1_0 = \Large \frac{1^4}{4}\large -\Large \frac{0^4}{4}\large = \Large \frac{1}{4}\large