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# Integrate the function $\sqrt{16x^2}$ from 0 to $4$

## Step-by-step Solution

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asinh
acosh
atanh
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asech
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###  Videos

$32$
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##  Step-by-step Solution 

Problem to solve:

$\int_{0}^{4}\sqrt{16x^2}dx$

Specify the solving method

1

The power of a product is equal to the product of it's factors raised to the same power

$\int_{0}^{4}4xdx$

Learn how to solve definite integrals problems step by step online.

$\int_{0}^{4}4xdx$

Learn how to solve definite integrals problems step by step online. Integrate the function (16x^2)^1/2 from 0 to 4. The power of a product is equal to the product of it's factors raised to the same power. The integral of a constant times a function is equal to the constant multiplied by 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. Evaluate the definite integral.

$32$

##  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 int((16x^2)^1/2)dx&0&4 using partial fractionsSolve int((16x^2)^1/2)dx&0&4 using basic integralsSolve int((16x^2)^1/2)dx&0&4 using u-substitutionSolve int((16x^2)^1/2)dx&0&4 using integration by partsSolve int((16x^2)^1/2)dx&0&4 using trigonometric substitution

SnapXam A2

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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

### Main topic:

Definite Integrals

~ 0.04 s

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