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人気のある微分積分 >

integral from 0 to pi/3 of sec(θ)tan(θ)

解

\int_{0}^{\frac{π}{3}} sec (θ) tan (θ) d θ

解

1

解答ステップ

\int_{0}^{\frac{π}{3}} sec (θ) tan (θ) d θ

u置換積分法を適用する

= \int_{1}^{2} 1 d u

定数の積分:

\int a d x = a x

= [1 \cdot u]_{1}^{2}

簡素化

= [u]_{1}^{2}

限度を計算する:

1

= 1

グラフ

人気の例

integral from 0 to 2pi of sqrt(1+x^2)

\int_{0}^{2 π} 1 + x^{2} d x

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\int_{1}^{8} \frac{e ^{\frac{1}{x}}}{x ^{2}} d x

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\int_{0}^{1} x (x + \frac{1}{2}) d x

integral from 0 to 1 of 1/(sqrt(1-t^2))

\int_{0}^{1} \frac{1}{1 - t ^{2}} d t