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Integral of sin5xcos(x)dx dx

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$$\int\limits_{0}^{1} \sin{\left(5 x \right)} \cos{\left(x \right)}\, dx$$

Integral(sin(5*x)*cos(x), (x, 0, 1))

The graph

Plot the graph f(x)

The answer [src]

5    5*cos(1)*cos(5)   sin(1)*sin(5)
-- - --------------- - -------------
24          24               24

$$- \frac{5 \cos{\left(1 \right)} \cos{\left(5 \right)}}{24} - \frac{\sin{\left(1 \right)} \sin{\left(5 \right)}}{24} + \frac{5}{24}$$

5    5*cos(1)*cos(5)   sin(1)*sin(5)
-- - --------------- - -------------
24          24               24

$$- \frac{5 \cos{\left(1 \right)} \cos{\left(5 \right)}}{24} - \frac{\sin{\left(1 \right)} \sin{\left(5 \right)}}{24} + \frac{5}{24}$$

5/24 - 5*cos(1)*cos(5)/24 - sin(1)*sin(5)/24

Numerical answer [src]

0.210024595387088

0.210024595387088

Use the examples entering the upper and lower limits of integration.

Integral of sin5x*cos(x)*dx dx