Step-by-step Solution

Integrate $5x-20$ from $3$ to $8$

Go
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

e
π
ln
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

Videos

$37.5$

Step-by-step explanation

Problem to solve:

$\int_3^8\left(5x-20\right)dx$
1

The integral of a sum of two or more functions is equal to the sum of their integrals

$\int_{3}^{8}5xdx+\int_{3}^{8}-20dx$
2

The integral of a constant is equal to the constant times the integral's variable

$\int_{3}^{8}5xdx+\left[-20x\right]_{3}^{8}$

$37.5$
$\int_3^8\left(5x-20\right)dx$

Main topic:

Definite integrals

~ 0.69 seconds