Mister Exam
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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
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Integral of 3x
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Integral of tan^3(x)/cos^2(x)
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Integral of cos(3x^2+4)
- Integral of sqrt(5/4-cos(t))
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Identical expressions
- sqrt(five / four -cos(t))
- square root of (5 divide by 4 minus co sinus of e of (t))
- square root of (five divide by four minus co sinus of e of (t))
- √(5/4-cos(t))
- sqrt5/4-cost
- sqrt(5 divide by 4-cos(t))
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Similar expressions
- sqrt(5/4+cos(t))
Integral of sqrt(5/4-cos(t)) dx
The solution
You have entered
[src]
1 / | | ______________ | \/ 5/4 - cos(t) dt | / 0
$$\int\limits_{0}^{1} \sqrt{- \cos{\left(t \right)} + \frac{5}{4}}\, dt$$
Detail solution
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Rewrite the integrand:
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The integral of a constant times a function is the constant times the integral of the function:
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Don't know the steps in finding this integral.
But the integral is
So, the result is:
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Add the constant of integration:
The answer is:
The answer (Indefinite)
[src]
/
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| ______________
/ | \/ 5 - 4*cos(t) dt
| |
| ______________ /
| \/ 5/4 - cos(t) dt = C + ----------------------
| 2
/
$$\int {\sqrt{{{5}\over{4}}-\cos t}}{\;dt}$$
The answer
[src]
1
/
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| ______________
| \/ 5 - 4*cos(t) dt
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/
0
-----------------------
2
$$\int_{0}^{1}{\sqrt{{{5}\over{4}}-\cos t}\;dt}$$
=
=
1
/
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| ______________
| \/ 5 - 4*cos(t) dt
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/
0
-----------------------
2
$$\frac{\int\limits_{0}^{1} \sqrt{- 4 \cos{\left(t \right)} + 5}\, dt}{2}$$
Use the examples entering the upper and lower limits of integration.