Question
Asked Dec 10, 2019
35 views

Evaluate the integral.

(1) /
(25)Vx³+1 dx
-1
help_outline

Image Transcriptionclose

(1) / (25)Vx³+1 dx -1

fullscreen
check_circle

Expert Answer

Step 1

Given,

help_outline

Image Transcriptionclose

(x*)Vr +1dx

fullscreen
Step 2

Evaluating by substitution:

 

help_outline

Image Transcriptionclose

Consider f(x')/r' +l& = [(x')/x° +1(x*)de Put x' +1=t differentiating with respect to x, we get dt → 3x dx = dt →x² dx = de dt 3x 3 dt : [(x*)/x* +1(x*)dx =[(t-1)\F [:x' +1=t=x' =t-1] 3 ) dt

fullscreen
Step 3

Now on integratin...

help_outline

Image Transcriptionclose

:fx* dx = 3 3 -1 n+1 2 3 5 Now replacing t =x³ +1 : (*)\P +ldt = +1 -? +1%| +1)%. (x³ (r* 3[5 m ini

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in
MathCalculus

Integration