Mister Exam

Integral of sin(3lnx) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
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 |  sin(3*log(x)) dx
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$$\int\limits_{0}^{1} \sin{\left(3 \log{\left(x \right)} \right)}\, dx$$
Integral(sin(3*log(x)), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                          
 |                        3*x*cos(3*log(x))   x*sin(3*log(x))
 | sin(3*log(x)) dx = C - ----------------- + ---------------
 |                                10                 10      
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$$\int \sin{\left(3 \log{\left(x \right)} \right)}\, dx = C + \frac{x \sin{\left(3 \log{\left(x \right)} \right)}}{10} - \frac{3 x \cos{\left(3 \log{\left(x \right)} \right)}}{10}$$
The graph
The answer [src]
-3/10
$$- \frac{3}{10}$$
=
=
-3/10
$$- \frac{3}{10}$$
-3/10
Numerical answer [src]
-0.3
-0.3

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