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Popular >

f(x)=sin(2x)cos(3x)

Solution

f (x) = sin (2 x) cos (3 x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

X Intercepts : (2 πn, 0), (π + 2 πn, 0), (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0), (\frac{π}{6} + 2 πn, 0), (\frac{5 π}{6} + 2 πn, 0), (\frac{7 π}{6} + 2 πn, 0), (\frac{11 π}{6} + 2 πn, 0), Y Intercepts : (0, 0)

Asymptotes : None

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Periodicity of

sin (2 x) cos (3 x) : 2 π

Domain of

sin (2 x) cos (3 x) : - \infty < x < \infty

Axis interception points of

sin (2 x) cos (3 x) :

X Intercepts

: (2 πn, 0), (π + 2 πn, 0), (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0), (\frac{π}{6} + 2 πn, 0), (\frac{5 π}{6} + 2 πn, 0), (\frac{7 π}{6} + 2 πn, 0), (\frac{11 π}{6} + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin (2 x) cos (3 x) :

None

Graph

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\int \frac{1}{y ^{5}} d y

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Frequently Asked Questions (FAQ)

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