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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}:
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Integral of sin(4x^2)
- Integral of log(x)^5/x
- Integral of e^(-2x)*sin(5x)
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Integral of (x^3-1)/(4x^3-x)
- Derivative of:
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sin(4x^2)
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Identical expressions
- sin(4x^ two)
- sinus of (4x squared )
- sinus of (4x to the power of two)
- sin(4x2)
- sin4x2
- sin(4x²)
- sin(4x to the power of 2)
- sin4x^2
- sin(4x^2)dx
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Similar expressions
- x×sin4x^2dx
- (sqrt2-2sin(4x))^2
- 3*cos(x/3)+1/(sin(4x))^2
- x*sin4x^2
Integral of sin(4x^2) dx
The solution
You have entered
[src]
1 / | | / 2\ | sin\4*x / dx | / 0
$$\int\limits_{0}^{1} \sin{\left(4 x^{2} \right)}\, dx$$
Integral(sin(4*x^2), (x, 0, 1))
Detail solution
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Add the constant of integration:
FresnelSRule(a=4, b=0, c=0, context=sin(4*x**2), symbol=x)
The answer is:
The answer (Indefinite)
[src]
/ ___\
___ ____ |2*x*\/ 2 |
/ \/ 2 *\/ pi *S|---------|
| | ____ |
| / 2\ \ \/ pi /
| sin\4*x / dx = C + -------------------------
| 4
/
$$\int \sin{\left(4 x^{2} \right)}\, dx = C + \frac{\sqrt{2} \sqrt{\pi} S\left(\frac{2 \sqrt{2} x}{\sqrt{\pi}}\right)}{4}$$
The graph
The answer
[src]
/ ___\
___ ____ |2*\/ 2 |
3*\/ 2 *\/ pi *S|-------|*Gamma(3/4)
| ____|
\ \/ pi /
------------------------------------
16*Gamma(7/4)
$$\frac{3 \sqrt{2} \sqrt{\pi} S\left(\frac{2 \sqrt{2}}{\sqrt{\pi}}\right) \Gamma\left(\frac{3}{4}\right)}{16 \Gamma\left(\frac{7}{4}\right)}$$
=
=
/ ___\
___ ____ |2*\/ 2 |
3*\/ 2 *\/ pi *S|-------|*Gamma(3/4)
| ____|
\ \/ pi /
------------------------------------
16*Gamma(7/4)
$$\frac{3 \sqrt{2} \sqrt{\pi} S\left(\frac{2 \sqrt{2}}{\sqrt{\pi}}\right) \Gamma\left(\frac{3}{4}\right)}{16 \Gamma\left(\frac{7}{4}\right)}$$
The graph
Use the examples entering the upper and lower limits of integration.