Integrate yx*965+2 from a to b

\int_{a}^{b}\left(965y\cdot x+2\right)dx

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Answer

$\int_{a}^{b}965x\cdot ydx$

Step by step solution

Problem

$\int_{a}^{b}\left(965y\cdot x+2\right)dx$
1

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

$\int_{a}^{b}2dx+\int_{a}^{b}965x\cdot ydx$
2

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

$\left[2x\right]_{a}^{b}+\int_{a}^{b}965x\cdot ydx$
3

Evaluate the definite integral

$\int_{a}^{b}965x\cdot ydx-1\cdot 2x+2x$
4

Multiply $2$ times $-1$

$\int_{a}^{b}965x\cdot ydx-2x+2x$
5

Adding $2x$ and $-2x$

$\int_{a}^{b}965x\cdot ydx+0x$
6

Any expression multiplied by $0$ is equal to $0$

$\int_{a}^{b}965x\cdot ydx+0$
7

$x+0=x$, where $x$ is any expression

$\int_{a}^{b}965x\cdot ydx$

Answer

$\int_{a}^{b}965x\cdot ydx$

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Problem Analysis

Main topic:

Integral calculus

Time to solve it:

0.26 seconds

Views:

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