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How to use it?
- Integral of d{x}:
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Integral of sin(5x)
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Integral of sqrt(1+x^2)/x
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Integral of t^2
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Integral of (x-1)^1/2
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Identical expressions
- three ^(6x)*cos(5x)
- 3 to the power of (6x) multiply by co sinus of e of (5x)
- three to the power of (6x) multiply by co sinus of e of (5x)
- 3(6x)*cos(5x)
- 36x*cos5x
- 3^(6x)cos(5x)
- 3(6x)cos(5x)
- 36xcos5x
- 3^6xcos5x
- 3^(6x)*cos(5x)dx
Integral of 3^(6x)*cos(5x) dx
The solution
You have entered
[src]
oo / | | 6*x | 3 *cos(5*x) dx | / -oo
$$\int\limits_{-\infty}^{\infty} 3^{6 x} \cos{\left(5 x \right)}\, dx$$
Integral(3^(6*x)*cos(5*x), (x, -oo, oo))
The answer (Indefinite)
[src]
/ | 6*x 6*x | 6*x 5*3 *sin(5*x) 6*3 *cos(5*x)*log(3) | 3 *cos(5*x) dx = C + --------------- + ---------------------- | 2 2 / 25 + 36*log (3) 25 + 36*log (3)
$$\int 3^{6 x} \cos{\left(5 x \right)}\, dx = \frac{5 \cdot 3^{6 x} \sin{\left(5 x \right)}}{25 + 36 \log{\left(3 \right)}^{2}} + \frac{6 \cdot 3^{6 x} \log{\left(3 \right)} \cos{\left(5 x \right)}}{25 + 36 \log{\left(3 \right)}^{2}} + C$$
The graph
The answer
[src]
oo*(<-5, 5> + <-6, 6>*log(3))
$$\infty \left(\left\langle -5, 5\right\rangle + \left\langle -6, 6\right\rangle \log{\left(3 \right)}\right)$$
=
=
oo*(<-5, 5> + <-6, 6>*log(3))
$$\infty \left(\left\langle -5, 5\right\rangle + \left\langle -6, 6\right\rangle \log{\left(3 \right)}\right)$$
oo*(AccumBounds(-5, 5) + AccumBounds(-6, 6)*log(3))
Numerical answer
[src]
5.21535867350983e+28564091645763626604
5.21535867350983e+28564091645763626604
Use the examples entering the upper and lower limits of integration.