Mister Exam
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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
- Integral of sin(nx)
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Integral of t^3sin(2t^4)dt
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Integral of (x^2-3x)×sin(2x)
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Integral of sin^5x/cos^4x
- Sum of series:
- sin(nx)
- Derivative of:
- sin(nx)
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Identical expressions
- sin(nx)
- sinus of (nx)
- sinnx
- sin(nx)dx
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Similar expressions
- e^(x)*sin(n*x)
- sin(n*x)
- xsinnx
- sinxsinnx
- 1/sin^n(x)
Integral of sin(nx) dx
The solution
You have entered
[src]
1 / | | sin(n*x) dx | / 0
$$\int\limits_{0}^{1} \sin{\left(n x \right)}\, dx$$
The answer (Indefinite)
[src]
/ //-cos(n*x) \ | ||---------- for n != 0| | sin(n*x) dx = C + |< n | | || | / \\ 0 otherwise /
$$-{{\cos \left(n\,x\right)}\over{n}}$$
The answer
[src]
/1 cos(n) |- - ------ for And(n > -oo, n < oo, n != 0)
$${{1}\over{n}}-{{\cos n}\over{n}}$$
=
=
/1 cos(n) |- - ------ for And(n > -oo, n < oo, n != 0)
$$\begin{cases} - \frac{\cos{\left(n \right)}}{n} + \frac{1}{n} & \text{for}\: n > -\infty \wedge n < \infty \wedge n \neq 0 \\0 & \text{otherwise} \end{cases}$$
Use the examples entering the upper and lower limits of integration.