# Integrate y+a^b

## \int\left(y+a^b\right)dx

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e
π
ln
log
lim
d/dx
d/dx
>
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sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
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sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

$xa^b+y\cdot x+C_0$

## Step by step solution

Problem

$\int\left(y+a^b\right)dx$
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The integral of a sum of two or more functions is equal to the sum of their integrals

$\int a^bdx+\int ydx$
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The integral of a constant is equal to the constant times the integral's variable

$xa^b+\int ydx$
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The integral of a constant is equal to the constant times the integral's variable

$xa^b+x\cdot y$
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Factoring by $x$

$x\left(a^b+y\right)$
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Multiply $\left(y+a^b\right)$ by $x$

$xa^b+y\cdot x$
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$xa^b+y\cdot x+C_0$

$xa^b+y\cdot x+C_0$

### Main topic:

Integral calculus

0.23 seconds

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