Question
upstudy study bank question image url

Find the value of integration for the following function أوجد قيمة التكامل للد الة التالية: \( f(x)=\int 70 x+x+9 d x \)

Ask by Boone Barber. in Saudi Arabia
Dec 28,2024

Real Tutor Solution

Tutor-Verified Answer

Answer

التكامل هو \( \frac{71}{2}x^2 + 9x + C \).

Solution

لحساب التكامل للدالة المعطاة: \[ f(x) = \int (70x + x + 9) \, dx \] أولاً، نقوم بتبسيط التعبير داخل التكامل: \[ 70x + x + 9 = 71x + 9 \] الآن نحسب التكامل: \[ \int (71x + 9) \, dx = \frac{71}{2}x^2 + 9x + C \] حيث أن \( C \) هو ثابت التكامل. إذن، قيمة التكامل هي: \[ f(x) = \frac{71}{2}x^2 + 9x + C \]

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

Bonus Knowledge

لإيجاد قيمة التكامل للدالة المعطاة \( f(x) = \int (70x + x + 9) \, dx \)، يمكنك جمع الحدود داخل التكامل أولاً: \[ 70x + x + 9 = 71x + 9 \] الآن نكامل الدالة: \[ f(x) = \int (71x + 9) \, dx = \frac{71}{2} x^2 + 9x + C \] حيث \( C \) هو ثابت التكامل. لذا، تكون قيمة التكامل للدالة المعطاة هي: \[ f(x) = \frac{71}{2} x^2 + 9x + C \]

Related Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy