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Find the integral of $\left(3x^2-5x+1\right)\left(-8x-5\right)+\left(-4x^2-5x+2\right)\left(6x-5\right)$

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Solution

Final answer to the problem

$-12x^{4}+5x^{3}+27x^2-15x+C_0$
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Step-by-step Solution

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Find the integral

$\int\left(\left(3x^2-5x+1\right)\left(-8x-5\right)+\left(-4x^2-5x+2\right)\left(6x-5\right)\right)dx$

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$\int\left(\left(3x^2-5x+1\right)\left(-8x-5\right)+\left(-4x^2-5x+2\right)\left(6x-5\right)\right)dx$

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Learn how to solve problems step by step online. Find the integral of (3x^2-5x+1)(-8x-5)+(-4x^2-5x+2)(6x-5). Find the integral. Multiply the single term -8x-5 by each term of the polynomial \left(3x^2-5x+1\right). Multiply the single term 6x-5 by each term of the polynomial \left(-4x^2-5x+2\right). Solve the product 3x^2\left(-8x-5\right).

Final answer to the problem

$-12x^{4}+5x^{3}+27x^2-15x+C_0$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve integral of ((3x^2+-5x)(-8x-5)+(-4x^2+-5x)(6x-5))dx using partial fractionsSolve integral of ((3x^2+-5x)(-8x-5)+(-4x^2+-5x)(6x-5))dx using basic integralsSolve integral of ((3x^2+-5x)(-8x-5)+(-4x^2+-5x)(6x-5))dx using u-substitutionSolve integral of ((3x^2+-5x)(-8x-5)+(-4x^2+-5x)(6x-5))dx using integration by partsSolve integral of ((3x^2+-5x)(-8x-5)+(-4x^2+-5x)(6x-5))dx using trigonometric substitution

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Function Plot

Plotting: $-12x^{4}+5x^{3}+27x^2-15x+C_0$

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7
8
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

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