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- Integral of d{x}:
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Integral of x^2dx
- Integral of x/y
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Integral of exp(2x)
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Integral of dx/(1+e^x)
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Identical expressions
- sin(x)/(one +sinx)^ two
- sinus of (x) divide by (1 plus sinus of x) squared
- sinus of (x) divide by (one plus sinus of x) to the power of two
- sin(x)/(1+sinx)2
- sinx/1+sinx2
- sin(x)/(1+sinx)²
- sin(x)/(1+sinx) to the power of 2
- sinx/1+sinx^2
- sin(x) divide by (1+sinx)^2
- sin(x)/(1+sinx)^2dx
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Similar expressions
- (sinx)/((1+sinx)^2)
- sin(x)/(1-sinx)^2
- sinx/(1+sinx)^2
Integral of sin(x)/(1+sinx)^2 dx
The solution
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[src]
pi -- 2 / | | sin(x) | ------------- dx | 2 | (1 + sin(x)) | / 0
$$\int\limits_{0}^{\frac{\pi}{2}} \frac{\sin{\left(x \right)}}{\left(\sin{\left(x \right)} + 1\right)^{2}}\, dx$$
Integral(sin(x)/(1 + sin(x))^2, (x, 0, pi/2))
The answer (Indefinite)
[src]
/ /x\ | 6*tan|-| | sin(x) 2 \2/ | ------------- dx = C - ------------------------------------ - ------------------------------------ | 2 3/x\ 2/x\ /x\ 3/x\ 2/x\ /x\ | (1 + sin(x)) 3 + 3*tan |-| + 9*tan |-| + 9*tan|-| 3 + 3*tan |-| + 9*tan |-| + 9*tan|-| | \2/ \2/ \2/ \2/ \2/ \2/ /
$$\int \frac{\sin{\left(x \right)}}{\left(\sin{\left(x \right)} + 1\right)^{2}}\, dx = C - \frac{6 \tan{\left(\frac{x}{2} \right)}}{3 \tan^{3}{\left(\frac{x}{2} \right)} + 9 \tan^{2}{\left(\frac{x}{2} \right)} + 9 \tan{\left(\frac{x}{2} \right)} + 3} - \frac{2}{3 \tan^{3}{\left(\frac{x}{2} \right)} + 9 \tan^{2}{\left(\frac{x}{2} \right)} + 9 \tan{\left(\frac{x}{2} \right)} + 3}$$
The graph
Use the examples entering the upper and lower limits of integration.