化简 int(x^2+ax-3)^2dx

解答

化简

in t (x^{2} + a x - 3)^{2} d x

i (9 n t d x + n t x^{4} d x - 6 n t x^{2} d x + a^{2} n t x^{2} d x + 2 an t x^{3} d x - 6 an t x d x)

求解步骤

in t (x^{2} + a x - 3)^{2} d x

将

in t (x^{2} + a x - 3)^{2} d x

改写成标准复数形式:

(2 an t x^{3} d x + n t x^{4} d x - 6 n t x^{2} d x + a^{2} n t x^{2} d x - 6 an t x d x + 9 n t d x) i

= (2 an t x^{3} d x + n t x^{4} d x - 6 n t x^{2} d x + a^{2} n t x^{2} d x - 6 an t x d x + 9 n t d x) i

f a c t or 5 x - 5 y

s im pl i f y 5000 \cdot \frac{4}{5}

s im pl i f y \frac{2 ^{n + 1} - 2 ^{n + 2}}{2 ^{n - 1} - 2 ^{n - 2}}

s im pl i f y 2 - 192

f a c t or + 4 z^{2} - 20 z + 25