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Integrate $\int\left(2x+6\right)dx$

Step-by-step Solution

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Solution

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Final Answer

$x^2+6x+C_0$
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Step-by-step Solution

Problem to solve:

$\int\left(2x+6\right)dx$

Specify the solving method

1

Expand the integral $\int\left(2x+6\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int2xdx+\int6dx$

Learn how to solve one-variable linear equations problems step by step online.

$\int2xdx+\int6dx$

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Learn how to solve one-variable linear equations problems step by step online. Integrate int(2x+6)dx. Expand the integral \int\left(2x+6\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int2xdx results in: x^2. The integral \int6dx results in: 6x. Gather the results of all integrals.

Final Answer

$x^2+6x+C_0$

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 (2x+6)dx using partial fractionsSolve integral of (2x+6)dx using basic integralsSolve integral of (2x+6)dx using u-substitutionSolve integral of (2x+6)dx using integration by partsSolve integral of (2x+6)dx using trigonometric substitution

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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

How to improve your answer:

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Main topic:

One-variable linear equations

Time to solve it:

~ 0.13 s

Related topics:

One-variable linear equationsEquationsPrecalculus

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