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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x*cos(x/2)
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Integral of x^5/(x^2+1)
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Integral of x/(2*x+1)
- Integral of (-x)/(1-x^2)
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Identical expressions
- ((sqrt(2x)- three)*cos2x)
- (( square root of (2x) minus 3) multiply by co sinus of e of 2x)
- (( square root of (2x) minus three) multiply by co sinus of e of 2x)
- ((√(2x)-3)*cos2x)
- ((sqrt(2x)-3)cos2x)
- sqrt2x-3cos2x
- ((sqrt(2x)-3)*cos2x)dx
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Similar expressions
- ((sqrt(2x)+3)*cos2x)
Integral of ((sqrt(2x)-3)*cos2x) dx
The solution
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0 / | | / _____ \ | \\/ 2*x - 3/*cos(2*x) dx | / 0
$$\int\limits_{0}^{0} \left(\sqrt{2 x} - 3\right) \cos{\left(2 x \right)}\, dx$$
Integral((sqrt(2*x) - 3)*cos(2*x), (x, 0, 0))
The answer (Indefinite)
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/ _ \ / | 3/2 |_ / 1/4, 3/4 | 2\| | | / ___\ x *Gamma(1/4)*Gamma(3/4)* | | | -x || | / _____ \ 3*sin(2*x) ___ | ____ |2*\/ x | 2 3 \1/2, 5/4, 7/4 | /| | \\/ 2*x - 3/*cos(2*x) dx = C - ---------- + \/ 2 *|x*\/ pi *C|-------| - -----------------------------------------------------| | 2 | | ____| 4*Gamma(5/4)*Gamma(7/4) | / \ \ \/ pi / /
$$\int \left(\sqrt{2 x} - 3\right) \cos{\left(2 x \right)}\, dx = C + \sqrt{2} \left(- \frac{x^{\frac{3}{2}} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{3}\left(\begin{matrix} \frac{1}{4}, \frac{3}{4} \\ \frac{1}{2}, \frac{5}{4}, \frac{7}{4} \end{matrix}\middle| {- x^{2}} \right)}}{4 \Gamma\left(\frac{5}{4}\right) \Gamma\left(\frac{7}{4}\right)} + \sqrt{\pi} x C\left(\frac{2 \sqrt{x}}{\sqrt{\pi}}\right)\right) - \frac{3 \sin{\left(2 x \right)}}{2}$$
Use the examples entering the upper and lower limits of integration.