展开 (x^2+1)arccot(x)

解答

展开

(x^{2} + 1) arccot (x)

x^{2} arccot (x) + arccot (x)

求解步骤

(x^{2} + 1) arccot (x)

= arccot (x) (x^{2} + 1)

使用分配律:

a (b + c) = ab + a c

arccot (x) (x^{2} + 1) = arccot (x) x^{2} + arccot (x) \cdot 1

= arccot (x) x^{2} + arccot (x) \cdot 1

化简

arccot (x) x^{2} + arccot (x) \cdot 1 : x^{2} arccot (x) + arccot (x)

= x^{2} arccot (x) + arccot (x)

e x p an d i (x + i y)^{2} + 3 x + 3 i y

e x p an d (6 x - 3 x^{2}) e^{x}

e x p an d x e^{(x + y)^{2}}

s im pl i f y \frac{2 ( x + 5 )}{3 3 x} + x^{\frac{2}{3}}

im pl i c i t \frac{d y}{d x}, x^{2} - y^{2} = 1