Write the integral in terms of u and du. Then

Ava-May Nelson

Ava-May Nelson

Answered question

2021-11-07

Write the integral in terms of u and du.
(3t4)5 dt ,u=3t4

Answer & Explanation

aprovard

aprovard

Skilled2021-11-08Added 94 answers

Step 1 
The indefinite integral to be solved.
Step 2 
Given information: 
(3t4)5 dt ,  and  u=3t4 
Integration formula: 
xn dx =xn+1n+1+c, c is arbitrary constant 
Step 3 
Calculation: 
Differentiate u=(3 t)-4, 
du dt =d dt (3t4) 
du dt =(30)   [d dx (xn)=nxn1] 
du dt =3 
multiply by cross.
du=3dt 
so,  dt =du3 
Step 4 
Substitute u=(3 t)-4 in the integral. 
(3t4)5 dt =u5du3 
=13u5du 
=13(u5+15+1)+c 
=13(u66)+c 
(3t4)5 dt =118(u6)+c 
Step 5 
Now, substitute u=(3 t)-4. 
(3t4)5 dt =118(u6)+c 
(3t4)5 dt =118((3t4)6)+c

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?