en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (x^2-1)e^xdx

Solution

expand

(x^{2} - 1) e^{x} d x

Solution

e^{x} x^{2} d x - e^{x} d x

Solution steps

(x^{2} - 1) e^{x} d x

= e^{x} (x^{2} - 1) d x

Apply the distributive law:

a (b - c) = ab - a c

a = e^{x} d x, b = x^{2}, c = 1

= e^{x} d x x^{2} - e^{x} d x \cdot 1

= e^{x} x^{2} d x - 1 \cdot e^{x} d x

Multiply:

1 \cdot e^{x} = e^{x}

= e^{x} x^{2} d x - e^{x} d x

Popular Examples

expand (5(s+2))/(s(s+1))expand

\frac{5 ( s + 2 )}{s ( s + 1 )}

expand P_{1}(-6,6sqrt(3),-12)expand

P_{1} (- 6, 63, - 12)

expand ,(x^2)(x+y)(x-y)expand

, (x^{2}) (x + y) (x - y)

expand A(-4,-3)expand

A (- 4, - 3)

expand 1/((x-1)^2(x-2))expand

\frac{1}{( x - 1 ) ^{2} ( x - 2 )}

Frequently Asked Questions (FAQ)

What is expand (x^2-1)e^xdx ?
The solution to expand (x^2-1)e^xdx is e^xx^2dx-e^xdx