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Popular >

expand (x^2+1)e^ydy

Solution

expand

(x^{2} + 1) e^{y} d y

Solution

e^{y} x^{2} d y + e^{y} d y

Solution steps

(x^{2} + 1) e^{y} d y

= e^{y} (x^{2} + 1) d y

Apply the distributive law:

a (b + c) = ab + a c

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

= e^{y} d y x^{2} + e^{y} d y \cdot 1

= e^{y} x^{2} d y + 1 \cdot e^{y} d y

Multiply:

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

= e^{y} x^{2} d y + e^{y} d y

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Frequently Asked Questions (FAQ)

What is expand (x^2+1)e^ydy ?
The solution to expand (x^2+1)e^ydy is e^yx^2dy+e^ydy