Step-by-step Solution

Integrate $\int\left(a-10\right)\left(a+10\right)da$ with respect to a

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
|◻|
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Step-by-step explanation

Problem to solve:

$\int\left(a-10\right)\left(a+10\right)da$

Learn how to solve calculus problems step by step online.

$\int\left(a^2-100\right)da$

Unlock this full step-by-step solution!

Learn how to solve calculus problems step by step online. Integrate int((a-10)*(a+10))da with respect to a. The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2, where:<ul><li>The first term (a) is a.</li><li>The second term (b) is 10.</li></ul>Then:. The integral of the sum of two or more functions is equal to the sum of their integrals. The integral \int a^2da results in: \frac{a^{3}}{3}. The integral \int-100da results in: -100a.

Final Answer

$\frac{a^{3}}{3}-100a+C_0$

Problem Analysis

$\int\left(a-10\right)\left(a+10\right)da$

Main topic:

Calculus

Related formulas:

3. See formulas

Time to solve it:

~ 0.05 seconds