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 x/e^x
-
Integral of e^(-3x)
- Integral of x/x^2
-
Integral of x^2sin(x)
-
Identical expressions
- 5dx/sinx^(two)x
- 5dx divide by sinus of x to the power of (2)x
- 5dx divide by sinus of x to the power of (two)x
- 5dx/sinx(2)x
- 5dx/sinx2x
- 5dx/sinx^2x
- 5dx divide by sinx^(2)x
Integral of 5dx/sinx^(2)x dx
The solution
You have entered
[src]
1 / | | 5 | -------*x dx | 2 | sin (x) | / 0
$$\int\limits_{0}^{1} x \frac{5}{\sin^{2}{\left(x \right)}}\, dx$$
Integral((5/sin(x)^2)*x, (x, 0, 1))
The answer (Indefinite)
[src]
/ /x\ | 5*x*tan|-| | 5 / 2/x\\ / /x\\ 5*x \2/ | -------*x dx = C - 5*log|1 + tan |-|| + 5*log|tan|-|| - -------- + ---------- | 2 \ \2// \ \2// /x\ 2 | sin (x) 2*tan|-| | \2/ /
$$\int x \frac{5}{\sin^{2}{\left(x \right)}}\, dx = C + \frac{5 x \tan{\left(\frac{x}{2} \right)}}{2} - \frac{5 x}{2 \tan{\left(\frac{x}{2} \right)}} - 5 \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)} + 5 \log{\left(\tan{\left(\frac{x}{2} \right)} \right)}$$
The graph
Use the examples entering the upper and lower limits of integration.