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Step-by-step Solution

Integrate 4x-x from 0 to 2

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ln
log
lim
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sin
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tan
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sec
csc

asin
acos
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sinh
cosh
tanh
coth
sech
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asinh
acosh
atanh
acoth
asech
acsch

Answer

$6$

Step-by-step explanation

Problem to solve:

$\int_{0}^{2}\left(4x-x\right)dx$
1

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

$\int_{0}^{2}4xdx+\int_{0}^{2}-xdx$
2

Take the constant out of the integral

$4\int_{0}^{2} xdx+\int_{0}^{2}-xdx$

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Answer

$6$

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$\int_{0}^{2}\left(4x-x\right)dx$

Main topic:

Integral calculus

Time to solve it:

~ 0.7 seconds