Use a table of integrals to evaluate the following integrals. \int

quiquenobi2v6

quiquenobi2v6

Answered question

2021-12-12

Use a table of integrals to evaluate the following integrals.
x(2x+3)5dx

Answer & Explanation

boronganfh

boronganfh

Beginner2021-12-13Added 33 answers

Step 1
Consider the following integral,
I=x(2x+3)5dx
use the substitution method of integral,
2x+3=u
dx=12du
so, the integral becomes,
I=14(u3)u5du
now, simply the integral as follows,
I=14(u63u5)du
=14u6du34u5du
Step 2
now, integrate the above integral,
I=14[u77]34[u66]+C
=14[(2x+3)77]34[(2x+3)66]+C
=(2x+3)6(4x1)56+C
so, the value of the integral is I=(2x+3)6(4x1)56+C.
censoratojk

censoratojk

Beginner2021-12-14Added 46 answers

x(2x+3)5dx
Substitution u=2x+3dudx=2dx=12du:
=14(u3)u5du
Now we calculate:
(u3)u5du
We use the distributive property:
=(u63u5)du
Lets

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?