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 x⁹
-
Integral of sqrt(1+(9x/4))
-
Integral of 4xe^(2x)
-
Integral of dx/sqrt(4-2x-x^2)
-
Identical expressions
- sqrt(one +(9x/ four))
- square root of (1 plus (9x divide by 4))
- square root of (one plus (9x divide by four))
- √(1+(9x/4))
- sqrt1+9x/4
- sqrt(1+(9x divide by 4))
- sqrt(1+(9x/4))dx
-
Similar expressions
- sqrt(1-(9x/4))
Integral of sqrt(1+(9x/4)) dx
The solution
You have entered
[src]
1 / | | _________ | / 9*x | / 1 + --- dx | \/ 4 | / 0
$$\int\limits_{0}^{1} \sqrt{\frac{9 x}{4} + 1}\, dx$$
Integral(sqrt(1 + 9*x/4), (x, 0, 1))
The answer (Indefinite)
[src]
/ 3/2 | / 9*x\ | _________ 8*|1 + ---| | / 9*x \ 4 / | / 1 + --- dx = C + -------------- | \/ 4 27 | /
$${{8\,\left({{9\,x}\over{4}}+1\right)^{{{3}\over{2}}}}\over{27}}$$
The graph
The answer
[src]
____ 8 13*\/ 13 - -- + --------- 27 27
$${{13^{{{3}\over{2}}}}\over{27}}-{{8}\over{27}}$$
=
=
____ 8 13*\/ 13 - -- + --------- 27 27
$$- \frac{8}{27} + \frac{13 \sqrt{13}}{27}$$
The graph
Use the examples entering the upper and lower limits of integration.