Math, asked by pahadesiddhesh309, 5 days ago

find the value of integration 4y+5 dy c is constant

Answers

Answered by mdimtiyazahmad78
0

Answer:

4.

step by step explaining.

1. 2(4y+5)+c

2. 2y^2+5y+c

3. 4y+5+c

4. 4.

Answered by pulakmath007
3

\displaystyle \sf{ \int \: (4y + 5)dy }= 2 {y}^{2}   + 5y + c

Given :

\displaystyle \sf{ \int \: (4y + 5)dy }

To find :

The value of the integral

Solution :

Step 1 of 2 :

Write down the given Integral

The given Integral is

\displaystyle \sf{ \int \: (4y + 5)dy }

Step 2 of 2 :

Integrate the integral

\displaystyle \sf{ \int \: (4y + 5)dy }

\displaystyle \sf{  = \int \: 4y dy + \int \: 5  \: dy }

\displaystyle \sf{  =4 \int \: y dy + 5\int dy }

\displaystyle \sf{  =4  \times  \frac{ {y}^{1 + 1} }{1 + 1}  + 5y  + c}

\displaystyle \sf{  =4  \times  \frac{ {y}^{2} }{2}  + 5y  + c}

\displaystyle \sf{  =2 {y}^{2}   + 5y  + c}

Where c is integration constant

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