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- Improper integral
- Double Integral
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How to use it?
- Integral of d{x}:
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Integral of 7
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Integral of √(1-x²)
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Integral of x^2*exp(x^3)
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Integral of x^3*e^x
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Identical expressions
- xdx/sin^2x
- xdx divide by sinus of squared x
- xdx/sin2x
- xdx/sin²x
- xdx/sin to the power of 2x
- xdx divide by sin^2x
Integral of xdx/sin^2x dx
The solution
You have entered
[src]
1 / | | 1 | x*1*------- dx | 2 | sin (x) | / 0
$$\int\limits_{0}^{1} x 1 \cdot \frac{1}{\sin^{2}{\left(x \right)}}\, dx$$
The answer (Indefinite)
[src]
/ /x\ | x*tan|-| | 1 / 2/x\\ \2/ x / /x\\ | x*1*------- dx = C - log|1 + tan |-|| + -------- - -------- + log|tan|-|| | 2 \ \2// 2 /x\ \ \2// | sin (x) 2*tan|-| | \2/ /
$${{\left(\sin ^2\left(2\,x\right)+\cos ^2\left(2\,x\right)-2\,\cos
\left(2\,x\right)+1\right)\,\log \left(\sin ^2x+\cos ^2x+2\,\cos x+1
\right)+\left(\sin ^2\left(2\,x\right)+\cos ^2\left(2\,x\right)-2\,
\cos \left(2\,x\right)+1\right)\,\log \left(\sin ^2x+\cos ^2x-2\,
\cos x+1\right)-4\,x\,\sin \left(2\,x\right)}\over{2\,\sin ^2\left(2
\,x\right)+2\,\cos ^2\left(2\,x\right)-4\,\cos \left(2\,x\right)+2}}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.