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人気のある微分積分 >

integral from 0 to cos(y) of y

解

\int_{0}^{c o s (y)} y d y

解

\frac{1}{2} cos^{2} (y)

解答ステップ

\int_{0}^{c o s (y)} y d y

べき乗則を適用する

= [\frac{y ^{2}}{2}]_{0}^{c o s (y)}

限度を計算する:

\frac{1}{2} cos^{2} (y)

= \frac{1}{2} cos^{2} (y)

人気の例

integral from-pi to pi of cos(x)cos(2x)

\int_{- π}^{π} cos (x) cos (2 x) d x

integral from 0 to pi/2 of | 1/2-sin(x)|

\int_{0}^{\frac{π}{2}} \frac{1}{2} - sin (x) d x

integral from-2 to 3 of 1/x

\int_{- 2}^{3} \frac{1}{x} d x

integral from 2 to 11 of sqrt(x-2)

\int_{2}^{11} x - 2 d x

integral from 0 to 1 of 1/(x^2-5x+6)

\int_{0}^{1} \frac{1}{x ^{2} - 5 x + 6} d x