Find the integral $\int4xdx$

Step-by-step Solution

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Final answer to the problem

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

How should I solve this problem?

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

The integral of a function times a constant ($4$) is equal to the constant times the integral of the function

$4\int xdx$

Learn how to solve integral calculus problems step by step online.

$4\int xdx$

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Learn how to solve integral calculus problems step by step online. Find the integral int(4x)dx. The integral of a function times a constant (4) is equal to the constant times the integral of the function. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1. Multiply the fraction and term in 4\cdot \left(\frac{1}{2}\right)x^2. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.

Final answer to the problem

$2x^2+C_0$

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Function Plot

Plotting: $2x^2+C_0$

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1
2
3
4
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
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

How to improve your answer:

Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

Used Formulas

See formulas (2)

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