Integrate the function x-5 from 2 to 4 | SnapXam

 Topics

 Tap to take a pic of the problem

 Exercise

$\int_2^4\left(x-5\right)dx$

 Step-by-step Solution

 

1

Expand the integral $\int_{2}^{4}\left(x-5\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int_{2}^{4} xdx+\int_{2}^{4}-5dx$

 

2

The integral $\int_{2}^{4} xdx$ results in: $6$

$6$

 

3

The integral $\int_{2}^{4}-5dx$ results in: $-10$

$-10$

 

4

Gather the results of all integrals

$6-10$

 

5

Subtract the values $6$ and $-10$

$-4$

Final answer to the exercise  

$-4$

 Try other ways to solve this exercise

Choose an option
Integrate by partial fractions
Integrate by substitution
Integrate by parts
Integrate using tabular integration
Integrate by trigonometric substitution
Weierstrass Substitution
Integrate using trigonometric identities
Integrate using basic integrals
Product of Binomials with Common Term
Load more...

Can't find a method? Tell us so we can add it.



Symbolic mode

Text mode

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

D^□_x

∫

∫^◻

|◻|

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