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- Integral of d{x}:
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Integral of e^(2*x+1)
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Integral of e^x²
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Integral of (-x)/(1+x^2)
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Integral of sqrt(x^2+4)/x^2
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Identical expressions
- sin9xcos8xdx
- sinus of 9x co sinus of e of 8xdx
Integral of sin9xcos8xdx dx
The solution
You have entered
[src]
157 --- 50 / | | sin(9*x)*cos(8*x) dx | / 0
$$\int\limits_{0}^{\frac{157}{50}} \sin{\left(9 x \right)} \cos{\left(8 x \right)}\, dx$$
Integral(sin(9*x)*cos(8*x), (x, 0, 157/50))
The graph
The answer
[src]
/628\ /1413\ /628\ /1413\
9*cos|---|*cos|----| 8*sin|---|*sin|----|
9 \ 25/ \ 50 / \ 25/ \ 50 /
-- - -------------------- - --------------------
17 17 17
$$- \frac{8 \sin{\left(\frac{628}{25} \right)} \sin{\left(\frac{1413}{50} \right)}}{17} - \frac{9 \cos{\left(\frac{628}{25} \right)} \cos{\left(\frac{1413}{50} \right)}}{17} + \frac{9}{17}$$
=
=
/628\ /1413\ /628\ /1413\
9*cos|---|*cos|----| 8*sin|---|*sin|----|
9 \ 25/ \ 50 / \ 25/ \ 50 /
-- - -------------------- - --------------------
17 17 17
$$- \frac{8 \sin{\left(\frac{628}{25} \right)} \sin{\left(\frac{1413}{50} \right)}}{17} - \frac{9 \cos{\left(\frac{628}{25} \right)} \cos{\left(\frac{1413}{50} \right)}}{17} + \frac{9}{17}$$
9/17 - 9*cos(628/25)*cos(1413/50)/17 - 8*sin(628/25)*sin(1413/50)/17
Use the examples entering the upper and lower limits of integration.