Solve the integral of logarithmic functions $\int\left(\ln\left(e^{4x}\right)-\ln\left(1\right)\right)dx$

Step-by-step Solution

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sinh
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asinh
acosh
atanh
acoth
asech
acsch

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

Simplify the expression

$\int4xdx$

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$\int4xdx$

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Learn how to solve problems step by step online. Solve the integral of logarithmic functions int(ln(e^(4x))-ln(1))dx. Simplify the expression. 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.

Final answer to the problem

$2x^2+C_0$

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Function Plot

Plotting: $2x^2+C_0$

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Go!
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

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