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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 e^x/x^2
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Integral of x*dx/(x^2+1)
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Integral of z
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Integral of x*2^x
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Identical expressions
- sinx/(sqrt2cosx+ one)
- sinus of x divide by ( square root of 2 co sinus of e of x plus 1)
- sinus of x divide by ( square root of 2 co sinus of e of x plus one)
- sinx/(√2cosx+1)
- sinx/sqrt2cosx+1
- sinx divide by (sqrt2cosx+1)
- sinx/(sqrt2cosx+1)dx
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Similar expressions
- sinx/(sqrt2cosx-1)
Integral of sinx/(sqrt2cosx+1) dx
The solution
You have entered
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1 / | | sin(x) | ---------------- dx | __________ | \/ 2*cos(x) + 1 | / 0
$$\int\limits_{0}^{1} \frac{\sin{\left(x \right)}}{\sqrt{2 \cos{\left(x \right)}} + 1}\, dx$$
Integral(sin(x)/(sqrt(2*cos(x)) + 1), (x, 0, 1))
The graph
The answer
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___ / ___\ ___ ________ / ___ ________\ \/ 2 - log\1 + \/ 2 / - \/ 2 *\/ cos(1) + log\1 + \/ 2 *\/ cos(1) /
$$- \sqrt{2} \sqrt{\cos{\left(1 \right)}} - \log{\left(1 + \sqrt{2} \right)} + \log{\left(1 + \sqrt{2} \sqrt{\cos{\left(1 \right)}} \right)} + \sqrt{2}$$
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___ / ___\ ___ ________ / ___ ________\ \/ 2 - log\1 + \/ 2 / - \/ 2 *\/ cos(1) + log\1 + \/ 2 *\/ cos(1) /
$$- \sqrt{2} \sqrt{\cos{\left(1 \right)}} - \log{\left(1 + \sqrt{2} \right)} + \log{\left(1 + \sqrt{2} \sqrt{\cos{\left(1 \right)}} \right)} + \sqrt{2}$$
sqrt(2) - log(1 + sqrt(2)) - sqrt(2)*sqrt(cos(1)) + log(1 + sqrt(2)*sqrt(cos(1)))
Use the examples entering the upper and lower limits of integration.