integral from 3/2 to 2 of 3/8 x^2

해법

\int_{\frac{3}{2}}^{2} \frac{3}{8} x^{2} d x

\frac{37}{64}

십진법

0.578125

솔루션 단계

\int_{\frac{3}{2}}^{2} \frac{3}{8} x^{2} d x

정수를 빼라:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{3}{8} \cdot \int_{\frac{3}{2}}^{2} x^{2} d x

전원 규칙 적용

: [\frac{x ^{3}}{3}]_{\frac{3}{2}}^{2}

= \frac{3}{8} [\frac{x ^{3}}{3}]_{\frac{3}{2}}^{2}

경계 계산:

\frac{37}{24}

= \frac{3}{8} \cdot \frac{37}{24}

단순화

= \frac{37}{64}