Math virtual assistant

Calculators Topics Go Premium About Snapxam
ENGESP

Step-by-step Solution

Integral of (x+1)/((x^2+2x-3)^2)

Go
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

e
π
ln
log
lim
d/dx
d/dx
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Answer

$\frac{-\frac{1}{8}}{x-1}+\frac{\frac{1}{8}}{x+3}+C_0$

Step-by-step explanation

Problem to solve:

$\int\frac{\left(X+1\right)}{\left(X^2+2X-3\right)^2}dx$
1

Split the fraction $\frac{x+1}{\left(x^2+2x-3\right)^2}$ in two terms with same denominator

$\int\left(\frac{x}{\left(x^2+2x-3\right)^2}+\frac{1}{\left(x^2+2x-3\right)^2}\right)dx$
2

The integral of a sum of two or more functions is equal to the sum of their integrals

$\int\frac{x}{\left(x^2+2x-3\right)^2}dx+\int\frac{1}{\left(x^2+2x-3\right)^2}dx$

Unlock this step-by-step solution!

Answer

$\frac{-\frac{1}{8}}{x-1}+\frac{\frac{1}{8}}{x+3}+C_0$

Struggling with math?

Access detailed step by step solutions to millions of problems, growing every day!