What is expand 1/25 (5xsin(5x)+cos(5x))+C ?

The solution to expand 1/25 (5xsin(5x)+cos(5x))+C is (xsin(5x))/5+(cos(5x))/(25)+C

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expand 1/25 (5xsin(5x)+cos(5x))+C

expand

\frac{1}{25} (5 x sin (5 x) + cos (5 x)) + C

\frac{x sin ( 5 x )}{5} + \frac{cos ( 5 x )}{25} + C

Solution steps

\frac{1}{25} (5 x sin (5 x) + cos (5 x)) + C

Apply the distributive law:

a (b + c) = ab + a c

\frac{1}{25} (5 x sin (5 x) + cos (5 x)) = \frac{1}{25} \cdot 5 x sin (5 x) + \frac{1}{25} cos (5 x)

= \frac{1}{25} \cdot 5 x sin (5 x) + \frac{1}{25} cos (5 x) + C

Simplify

\frac{1}{25} \cdot 5 x sin (5 x) + \frac{1}{25} cos (5 x) : \frac{x sin ( 5 x )}{5} + \frac{cos ( 5 x )}{25}

= \frac{x sin ( 5 x )}{5} + \frac{cos ( 5 x )}{25} + C

(x + 2)^{2}

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

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

(\frac{1}{3} x + 1) (x + 2) (x + 3)

(6 x + 9 y) p o w e r^{2}

What is expand 1/25 (5xsin(5x)+cos(5x))+C ?
The solution to expand 1/25 (5xsin(5x)+cos(5x))+C is (xsin(5x))/5+(cos(5x))/(25)+C