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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
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- Differential equations Step by Step
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How to use it?
- Integral of d{x}:
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Integral of x^-5
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Integral of sin^5
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Integral of sec³x
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Integral of e^t
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Identical expressions
- sec³x
- sec³xdx
Integral of sec³x dx
The solution
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[src]
1 / | | 3 | sec (x) dx | / 0
$$\int\limits_{0}^{1} \sec^{3}{\left(x \right)}\, dx$$
Integral(sec(x)^3, (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 3 log(-1 + sin(x)) log(1 + sin(x)) sin(x) | sec (x) dx = C - ---------------- + --------------- - -------------- | 4 4 2 / -2 + 2*sin (x)
$${{\log \left(\sin x+1\right)}\over{4}}-{{\log \left(\sin x-1\right)
}\over{4}}-{{\sin x}\over{2\,\sin ^2x-2}}$$
The graph
The answer
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log(1 - sin(1)) log(1 + sin(1)) sin(1)
- --------------- + --------------- - --------------
4 4 2
-2 + 2*sin (1)
$${{\log \left(\sin 1+1\right)}\over{4}}-{{\log \left(1-\sin 1\right)
}\over{4}}-{{\sin 1}\over{2\,\sin ^21-2}}$$
=
=
log(1 - sin(1)) log(1 + sin(1)) sin(1)
- --------------- + --------------- - --------------
4 4 2
-2 + 2*sin (1)
$$\frac{\log{\left(\sin{\left(1 \right)} + 1 \right)}}{4} - \frac{\log{\left(- \sin{\left(1 \right)} + 1 \right)}}{4} - \frac{\sin{\left(1 \right)}}{-2 + 2 \sin^{2}{\left(1 \right)}}$$
The graph
Use the examples entering the upper and lower limits of integration.