面积 sqrt(x), 1/x ,x=3

解答

面积

x, \frac{1}{x}, x = 3

23 - \frac{2}{3} - ln (3)

十进制

1.69882 \dots

求解步骤

使用面积公式:

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

解

\int_{1}^{3} x - \frac{1}{x} d x : 23 - \frac{2}{3} - ln (3)

面积为:

= 23 - \frac{2}{3} - ln (3)

\int sin (2 x + \frac{π}{2}) d x

d er i v a t i v e f (x) = 3 t - t^{2}

\frac{d}{d x} (\frac{- 6}{( 1 + x ) ^{4}})

t an g e n t f (x) = (x^{2} + 1)^{x + 1}, at x = 0

\frac{d}{d x} (cos (\frac{1 - e ^{9 x}}{1 + e ^{9 x}}))