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Integrate the function $3x^2+9x^2-10$ from $-1$ to $1$

Step-by-step Solution

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Solution

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Final Answer

$-12$
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Step-by-step Solution

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1

Simplify the expression inside the integral

$\int_{-1}^{1}12x^2dx+\int_{-1}^{1}-10dx$

Learn how to solve classify algebraic expressions problems step by step online.

$\int_{-1}^{1}12x^2dx+\int_{-1}^{1}-10dx$

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Learn how to solve classify algebraic expressions problems step by step online. Integrate the function 3x^2+9x^2+-10 from -1 to 1. Simplify the expression inside the integral. The integral \int_{-1}^{1}12x^2dx results in: 8. The integral \int_{-1}^{1}-10dx results in: -20. Gather the results of all integrals.

Final Answer

$-12$

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+9x^2)dx from -1 to 1 using partial fractionsSolve integral of (3x^2+9x^2)dx from -1 to 1 using basic integralsSolve integral of (3x^2+9x^2)dx from -1 to 1 using u-substitutionSolve integral of (3x^2+9x^2)dx from -1 to 1 using integration by partsSolve integral of (3x^2+9x^2)dx from -1 to 1 using trigonometric substitution

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Function Plot

Plotting: $3x^2+9x^2-10$

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1
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5
6
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

How to improve your answer:

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Main Topic: Classify algebraic expressions

An algebraic expression can be classified as a monomial, binomial, trinomial or polynomial, depending on the number of terms.

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