Integrate y+a^b

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

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Answer

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

Step by step solution

Problem

$\int\left(y+a^b\right)dx$
1

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

$\int a^bdx+\int ydx$
2

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

$xa^b+\int ydx$
3

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

$xa^b+x\cdot y$
4

Factoring by $x$

$x\left(a^b+y\right)$
5

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

$xa^b+y\cdot x$
6

Add the constant of integration

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

Answer

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

Problem Analysis

Main topic:

Integral calculus

Time to solve it:

0.23 seconds

Views:

131