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Find the integral $\int\frac{3x^3-x^2+2x-4}{\sqrt{x^2-3x+2}}dx$

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Solving: $\int\frac{3x^3-x^2+2x-4}{\sqrt{x^2-3x+2}}dx$

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Function Plot

Plotting: $\frac{233}{8}\sqrt{\left(x-\frac{3}{2}\right)^2-\frac{1}{4}}+\left(x-\frac{3}{2}\right)^{2}\sqrt{\left(x-\frac{3}{2}\right)^2-\frac{1}{4}}+\frac{135}{16}\ln\left(2x-3+2\sqrt{\left(x-\frac{3}{2}\right)^2-\frac{1}{4}}\right)-\frac{25}{4}\sqrt{\left(x-\frac{3}{2}\right)^2-\frac{1}{4}}x+\frac{25\sqrt{\left(x-\frac{3}{2}\right)^2-\frac{1}{4}}x-\frac{75}{2}\sqrt{\left(x-\frac{3}{2}\right)^2-\frac{1}{4}}}{2}+C_0$

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a
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◻/◻
/
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e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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Main Topic: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

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