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Integrate $\int\left(x^2-4x+3-\left(-x^2+2x+3\right)\right)dx$

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Solution

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Final answer to the problem

$\frac{2}{3}x^{3}-3x^2+C_0$
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Step-by-step Solution

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  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Integrate using trigonometric identities
  • Integrate using basic integrals
  • Product of Binomials with Common Term
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1

Solve the product $-\left(-x^2+2x+3\right)$

Learn how to solve trigonometric identities problems step by step online.

$\int\left(x^2-4x+3+x^2-\left(2x+3\right)\right)dx$

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Unlock the first 3 steps of this solution

Learn how to solve trigonometric identities problems step by step online. Integrate int(x^2-4x+3-(-x^2+2x+3))dx. Solve the product -\left(-x^2+2x+3\right). Solve the product -\left(2x+3\right). Simplify the expression. The integral \int2x^2dx results in: \frac{2}{3}x^{3}.

Final answer to the problem

$\frac{2}{3}x^{3}-3x^2+C_0$

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Function Plot

Plotting: $\frac{2}{3}x^{3}-3x^2+C_0$

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9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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

How to improve your answer:

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$\sec x-\sin x\tan x=\cos x$

Main Topic: Trigonometric Identities

In mathematics, trigonometric identities are equalities that involve trigonometric functions and are true for every single value of the occurring variables where both sides of the equality are defined.

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