What is expand (3arctan(x^2)+5sin(x^2))dx ?

The solution to expand (3arctan(x^2)+5sin(x^2))dx is 3arctan(x^2)dx+5sin(x^2)dx

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expand (3arctan(x^2)+5sin(x^2))dx

expand

(3 arctan (x^{2}) + 5 sin (x^{2})) d x

3 arctan (x^{2}) d x + 5 sin (x^{2}) d x

Solution steps

(3 arctan (x^{2}) + 5 sin (x^{2})) d x

Apply the distributive law:

a (b + c) = ab + a c

a = d x, b = 3 arctan (x^{2}), c = 5 sin (x^{2})

= d x \cdot 3 arctan (x^{2}) + d x \cdot 5 sin (x^{2})

= 3 arctan (x^{2}) d x + 5 sin (x^{2}) d x

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What is expand (3arctan(x^2)+5sin(x^2))dx ?
The solution to expand (3arctan(x^2)+5sin(x^2))dx is 3arctan(x^2)dx+5sin(x^2)dx