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How to use it?
- Integral of d{x}:
- Integral of log(x)^3/x
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Integral of x^2*e^(x^3)*dx
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Integral of 1÷(x^2-1)
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Integral of e^x/(e^(2*x)+1)
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Identical expressions
- arccos(x)*exp((a*x))
- arc co sinus of e of (x) multiply by exponent of ((a multiply by x))
- arccos(x)exp((ax))
- arccosxexpax
- arccos(x)*exp((a*x))dx
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Similar expressions
- arccosx*exp((a*x))
Integral of arccos(x)*exp((a*x)) dx
The solution
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[src]
pi / | | a*x | acos(x)*e dx | / -pi
$$\int\limits_{- \pi}^{\pi} e^{a x} \operatorname{acos}{\left(x \right)}\, dx$$
Integral(acos(x)*exp(a*x), (x, -pi, pi))
The answer (Indefinite)
[src]
// ________ \
|| / 2 |
|| -\/ 1 - x for a = 0|
|| |
|| / |
/ // x for a = 0\ || | |
| || | || | a*x |
| a*x || a*x | || | e |
| acos(x)*e dx = C + |
$$\int e^{a x} \operatorname{acos}{\left(x \right)}\, dx = C + \left(\begin{cases} x & \text{for}\: a = 0 \\\frac{e^{a x}}{a} & \text{otherwise} \end{cases}\right) \operatorname{acos}{\left(x \right)} + \begin{cases} - \sqrt{1 - x^{2}} & \text{for}\: a = 0 \\\frac{\int \frac{e^{a x}}{\sqrt{1 - x^{2}}}\, dx}{a} & \text{otherwise} \end{cases}$$
The answer
[src]
pi / | | a*x | acos(x)*e dx | / -pi
$$\int\limits_{- \pi}^{\pi} e^{a x} \operatorname{acos}{\left(x \right)}\, dx$$
=
=
pi / | | a*x | acos(x)*e dx | / -pi
$$\int\limits_{- \pi}^{\pi} e^{a x} \operatorname{acos}{\left(x \right)}\, dx$$
Integral(acos(x)*exp(a*x), (x, -pi, pi))
Use the examples entering the upper and lower limits of integration.