What is expand (x+3)sqrt(x^4+4x^3-5)dx ?

The solution to expand (x+3)sqrt(x^4+4x^3-5)dx is xdxsqrt(x^4+4x^3-5)+3dxsqrt(x^4+4x^3-5)

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expand (x+3)sqrt(x^4+4x^3-5)dx

expand

(x + 3) x^{4} + 4 x^{3} - 5 d x

x d x x^{4} + 4 x^{3} - 5 + 3 d x x^{4} + 4 x^{3} - 5

Solution steps

(x + 3) x^{4} + 4 x^{3} - 5 d x

= (x + 3) d x x^{4} + 4 x^{3} - 5

Apply the distributive law:

a (b + c) = ab + a c

a = x^{4} + 4 x^{3} - 5 d x, b = x, c = 3

= x^{4} + 4 x^{3} - 5 d xx + x^{4} + 4 x^{3} - 5 d x \cdot 3

= x d x x^{4} + 4 x^{3} - 5 + 3 d x x^{4} + 4 x^{3} - 5

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What is expand (x+3)sqrt(x^4+4x^3-5)dx ?
The solution to expand (x+3)sqrt(x^4+4x^3-5)dx is xdxsqrt(x^4+4x^3-5)+3dxsqrt(x^4+4x^3-5)