Mister Exam
Other calculators
- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
-
How to use it?
- Integral of d{x}:
- Integral of ((1-x)/(1+x))^(1/2)
-
Integral of x*e^(5*x)*dx
- Integral of (dx)/(sqrt(x^(2)+6x+10))
-
Integral of dx/((3*x^6))
-
Identical expressions
- sqrt(two *a*(one -cos(t)))* two *a*sin(t/ two)
- square root of (2 multiply by a multiply by (1 minus co sinus of e of (t))) multiply by 2 multiply by a multiply by sinus of (t divide by 2)
- square root of (two multiply by a multiply by (one minus co sinus of e of (t))) multiply by two multiply by a multiply by sinus of (t divide by two)
- √(2*a*(1-cos(t)))*2*a*sin(t/2)
- sqrt(2a(1-cos(t)))2asin(t/2)
- sqrt2a1-cost2asint/2
- sqrt(2*a*(1-cos(t)))*2*a*sin(t divide by 2)
-
Similar expressions
- sqrt(2*a*(1+cos(t)))*2*a*sin(t/2)
Integral of sqrt(2*a*(1-cos(t)))*2*a*sin(t/2) dx
The solution
You have entered
[src]
1 / | | __________________ /t\ | \/ 2*a*(1 - cos(t)) *2*a*sin|-| dt | \2/ | / 0
$$\int\limits_{0}^{1} a 2 \sqrt{2 a \left(1 - \cos{\left(t \right)}\right)} \sin{\left(\frac{t}{2} \right)}\, dt$$
Integral(((sqrt((2*a)*(1 - cos(t)))*2)*a)*sin(t/2), (t, 0, 1))
The answer (Indefinite)
[src]
/ / | | | __________________ /t\ ___ | __________________ /t\ | \/ 2*a*(1 - cos(t)) *2*a*sin|-| dt = C + 2*a*\/ 2 * | \/ -a*(-1 + cos(t)) *sin|-| dt | \2/ | \2/ | | / /
$$\int a 2 \sqrt{2 a \left(1 - \cos{\left(t \right)}\right)} \sin{\left(\frac{t}{2} \right)}\, dt = C + 2 \sqrt{2} a \int \sqrt{- a \left(\cos{\left(t \right)} - 1\right)} \sin{\left(\frac{t}{2} \right)}\, dt$$
Use the examples entering the upper and lower limits of integration.