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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
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How to use it?
- Integral of d{x}:
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Integral of 1/(2+x^2)
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Integral of y^(-2/3)
- Integral of x/(x^3-3x+2)
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Integral of x^5/(x^2+1)
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Identical expressions
- (cos2x+ one)^3sin2xdx
- ( co sinus of e of 2x plus 1) cubed sinus of 2xdx
- ( co sinus of e of 2x plus one) cubed sinus of 2xdx
- (cos2x+1)3sin2xdx
- cos2x+13sin2xdx
- (cos2x+1)³sin2xdx
- (cos2x+1) to the power of 3sin2xdx
- cos2x+1^3sin2xdx
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Similar expressions
- (cos2x-1)^3sin2xdx
Integral of (cos2x+1)^3sin2xdx dx
The solution
You have entered
[src]
1 / | | 3 | (cos(2*x) + 1) *sin(2*x) dx | / 0
$$\int\limits_{0}^{1} \left(\cos{\left(2 x \right)} + 1\right)^{3} \sin{\left(2 x \right)}\, dx$$
Integral((cos(2*x) + 1)^3*sin(2*x), (x, 0, 1))
The graph
The answer
[src]
2 3 4 15 3*cos (2) cos (2) cos(2) cos (2) -- - --------- - ------- - ------ - ------- 8 4 2 2 8
$$- \frac{3 \cos^{2}{\left(2 \right)}}{4} - \frac{\cos^{4}{\left(2 \right)}}{8} - \frac{\cos^{3}{\left(2 \right)}}{2} - \frac{\cos{\left(2 \right)}}{2} + \frac{15}{8}$$
=
=
2 3 4 15 3*cos (2) cos (2) cos(2) cos (2) -- - --------- - ------- - ------ - ------- 8 4 2 2 8
$$- \frac{3 \cos^{2}{\left(2 \right)}}{4} - \frac{\cos^{4}{\left(2 \right)}}{8} - \frac{\cos^{3}{\left(2 \right)}}{2} - \frac{\cos{\left(2 \right)}}{2} + \frac{15}{8}$$
15/8 - 3*cos(2)^2/4 - cos(2)^3/2 - cos(2)/2 - cos(2)^4/8
Use the examples entering the upper and lower limits of integration.