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How to use it?
- Integral of d{x}:
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Integral of cosx*sin3x
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Integral of cos^4(1/2x)
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Integral of y^2(2-y^3)^2dy
- Integral of (tan(x))^0.5
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Identical expressions
- sqrt(e^x- nine)
- square root of (e to the power of x minus 9)
- square root of (e to the power of x minus nine)
- √(e^x-9)
- sqrt(ex-9)
- sqrtex-9
- sqrte^x-9
- sqrt(e^x-9)dx
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Similar expressions
- sqrt(e^x+9)
Integral of sqrt(e^x-9) dx
The solution
You have entered
[src]
1 / | | ________ | / x | \/ e - 9 dx | / 0
$$\int\limits_{0}^{1} \sqrt{e^{x} - 9}\, dx$$
Integral(sqrt(E^x - 1*9), (x, 0, 1))
The answer (Indefinite)
[src]
$$2\,\sqrt{e^{x}-9}-6\,\arctan \left({{\sqrt{e^{x}-9}}\over{3}}
\right)$$
The answer
[src]
/ ________\ / ___\
|\/ -9 + e | ________ ___ |2*\/ 2 |
- 6*atan|----------| + 2*\/ -9 + e - 4*I*\/ 2 + 6*I*atanh|-------|
\ 3 / \ 3 /
$$-6\,\arctan \left({{\sqrt{e-9}}\over{3}}\right)+6\,i\,
{\rm atanh}\; \left({{2^{{{3}\over{2}}}}\over{3}}\right)-2^{{{5
}\over{2}}}\,i+2\,\sqrt{e-9}$$
=
=
/ ________\ / ___\
|\/ -9 + e | ________ ___ |2*\/ 2 |
- 6*atan|----------| + 2*\/ -9 + e - 4*I*\/ 2 + 6*I*atanh|-------|
\ 3 / \ 3 /
$$- 6 \operatorname{atan}{\left(\frac{\sqrt{-9 + e}}{3} \right)} - 4 \sqrt{2} i + 2 \sqrt{-9 + e} + 6 i \operatorname{atanh}{\left(\frac{2 \sqrt{2}}{3} \right)}$$
Use the examples entering the upper and lower limits of integration.