What is expand-y(ln(y)-tan(x)*t)dx ?

The solution to expand-y(ln(y)-tan(x)*t)dx is -yln(y)dx+yttan(x)dx

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expand-y(ln(y)-tan(x)*t)dx

expand

- y (ln (y) - tan (x) \cdot t) d x

- y ln (y) d x + y t tan (x) d x

Solution steps

- y (ln (y) - tan (x) t) d x

= - y (ln (y) - t tan (x)) d x

Apply the distributive law:

a (b - c) = ab - a c

a = - y d x, b = ln (y), c = tan (x) t

= - y d x ln (y) - (- y d x) tan (x) t

Apply minus-plus rules

- (- a) = a

= - y ln (y) d x + y t tan (x) d x

\frac{1}{( n + 1 ) ( n - 1 )}

\frac{d ^{2}}{d x ^{2}} ((y) (4 x - 8))

\frac{1}{( a + 2 ) ^{2}}

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

cos^{2} ((a + k) \cdot t)

What is expand-y(ln(y)-tan(x)*t)dx ?
The solution to expand-y(ln(y)-tan(x)*t)dx is -yln(y)dx+yttan(x)dx