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- Integral of d{x}:
- Integral of 1/(1+x^5)
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Integral of (sinx)^2*(cosx)^2
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Integral of 1/(x(1-x))
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Integral of x^3*ln(2x)
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Identical expressions
- e^(2x)*cos(x/ three)
- e to the power of (2x) multiply by co sinus of e of (x divide by 3)
- e to the power of (2x) multiply by co sinus of e of (x divide by three)
- e(2x)*cos(x/3)
- e2x*cosx/3
- e^(2x)cos(x/3)
- e(2x)cos(x/3)
- e2xcosx/3
- e^2xcosx/3
- e^(2x)*cos(x divide by 3)
- e^(2x)*cos(x/3)dx
Integral of e^(2x)*cos(x/3) dx
The solution
You have entered
[src]
-1 / | | 2*x /x\ | E *cos|-| dx | \3/ | / 0
$$\int\limits_{0}^{-1} e^{2 x} \cos{\left(\frac{x}{3} \right)}\, dx$$
Integral(E^(2*x)*cos(x/3), (x, 0, -1))
The answer (Indefinite)
[src]
/ / | | | 2*x /x\ | /x\ 2*x | E *cos|-| dx = C + | cos|-|*e dx | \3/ | \3/ | | / /
$$\int e^{2 x} \cos{\left(\frac{x}{3} \right)}\, dx = C + \int e^{2 x} \cos{\left(\frac{x}{3} \right)}\, dx$$
The graph
The answer
[src]
-2 -2 18 3*e *sin(1/3) 18*cos(1/3)*e - -- - -------------- + --------------- 37 37 37
$$- \frac{18}{37} - \frac{3 \sin{\left(\frac{1}{3} \right)}}{37 e^{2}} + \frac{18 \cos{\left(\frac{1}{3} \right)}}{37 e^{2}}$$
=
=
-2 -2 18 3*e *sin(1/3) 18*cos(1/3)*e - -- - -------------- + --------------- 37 37 37
$$- \frac{18}{37} - \frac{3 \sin{\left(\frac{1}{3} \right)}}{37 e^{2}} + \frac{18 \cos{\left(\frac{1}{3} \right)}}{37 e^{2}}$$
-18/37 - 3*exp(-2)*sin(1/3)/37 + 18*cos(1/3)*exp(-2)/37
Use the examples entering the upper and lower limits of integration.