What is 1/4 cos(7)x^4*6xdx ?

The solution to 1/4 cos(7)x^4*6xdx is (3cos(7)x^5dx)/2

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simplify 1/4 cos(7)x^4*6xdx

simplify

\frac{1}{4} cos (7) x^{4} \cdot 6 x d x

\frac{3 cos ( 7 ) x ^{5} d x}{2}

Solution steps

\frac{1}{4} cos (7) x^{4} \cdot 6 x d x

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{4} x = x^{4 + 1}

= \frac{1}{4} cos (7) \cdot 6 x^{4 + 1} d x

Add the numbers:

4 + 1 = 5

= \frac{1}{4} cos (7) \cdot 6 x^{5} d x

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= cos (7) \frac{1 \cdot 6 x ^{5} d x}{4}

Simplify

\frac{1 \cdot 6 x ^{5} d x}{4} : \frac{3 x ^{5} d x}{2}

= cos (7) \frac{3 x ^{5} d x}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 x ^{5} d x cos ( 7 )}{2}

3.119 \cdot 1 0^{- 6}

(8.122 \cdot 1 0^{- 11}) (0.05 - x)

4 e^{- \frac{6}{100} t}

2 π (4 x) 1 + \frac{4}{x}

\frac{4 \cdot π \cdot 1204 \cdot 4.06}{0.723} \cdot 1 0^{- 7}

What is 1/4 cos(7)x^4*6xdx ?
The solution to 1/4 cos(7)x^4*6xdx is (3cos(7)x^5dx)/2