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^4
-
Integral of (sin(x))^2
- Integral of x+y
-
Integral of e^(x)
-
Identical expressions
- (- three / two)((ln(4x+ five)/(x+ one)^ two))
- ( minus 3 divide by 2)((ln(4x plus 5) divide by (x plus 1) squared ))
- ( minus three divide by two)((ln(4x plus five) divide by (x plus one) to the power of two))
- (-3/2)((ln(4x+5)/(x+1)2))
- -3/2ln4x+5/x+12
- (-3/2)((ln(4x+5)/(x+1)²))
- (-3/2)((ln(4x+5)/(x+1) to the power of 2))
- -3/2ln4x+5/x+1^2
- (-3 divide by 2)((ln(4x+5) divide by (x+1)^2))
- (-3/2)((ln(4x+5)/(x+1)^2))dx
-
Similar expressions
- (-3/2)((ln(4x-5)/(x+1)^2))
- (3/2)((ln(4x+5)/(x+1)^2))
- (-3/2)((ln(4x+5)/(x-1)^2))
Integral of (-3/2)((ln(4x+5)/(x+1)^2)) dx
The solution
You have entered
[src]
4 / | | log(4*x + 5) | -3*------------ | 2 | (x + 1) | --------------- dx | 2 | / -1
$$\int\limits_{-1}^{4} \left(- \frac{3 \frac{\log{\left(4 x + 5 \right)}}{\left(x + 1\right)^{2}}}{2}\right)\, dx$$
Integral(-3*log(4*x + 5)/(2*(x + 1)^2), (x, -1, 4))
The answer (Indefinite)
[src]
/ | | log(4*x + 5) | -3*------------ | 2 | (x + 1) 3*log(5 + 4*x) | --------------- dx = C - 6*log(1 + x) + 6*log(5 + 4*x) + -------------- | 2 2*(1 + x) | /
$$\int \left(- \frac{3 \frac{\log{\left(4 x + 5 \right)}}{\left(x + 1\right)^{2}}}{2}\right)\, dx = C - 6 \log{\left(x + 1 \right)} + 6 \log{\left(4 x + 5 \right)} + \frac{3 \log{\left(4 x + 5 \right)}}{2 \left(x + 1\right)}$$
Use the examples entering the upper and lower limits of integration.