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Popular >

expand x(1+x^3)dx

Solution

expand

x (1 + x^{3}) d x

Solution

x d x + x^{4} d x

Solution steps

x (1 + x^{3}) d x

Apply the distributive law:

a (b + c) = ab + a c

a = x d x, b = 1, c = x^{3}

= x d x \cdot 1 + x d x x^{3}

= 1 \cdot x d x + x^{3} x d x

Simplify

1 \cdot x d x + x^{3} x d x : x d x + x^{4} d x

= x d x + x^{4} d x

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\frac{3 ( 5 + 3 )}{8}

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\frac{- 15 x + 15}{( 4 x - 3 ) ( 2 x + 1 )}

Frequently Asked Questions (FAQ)

What is expand x(1+x^3)dx ?
The solution to expand x(1+x^3)dx is xdx+x^4dx