# If f’(x) = x + b,

Given f’(x) = x + b, f(1) = 5 and f(2) = 13

On integrating the given equation, we have We know    Recall and   On substituting x = 1 in f(x), we get    ….. (1)

On substituting x = 2 in f(x), we get 13 = 2 + 2b + c

13 – 2 = 2b + c

2b + c = 11 ….. (2)

By subtracting equation (1) from equation (2), we have   On substituting the value of b in equation (1), we get  c = –2

On substituting the values of b and c in f(x), we get  Thus, Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Evaluate:

Mathematics - Board Papers

<span lang="EN-USMathematics - Board Papers

Write the anti-deMathematics - Board Papers

Evaluate <iRD Sharma - Volume 1

Evaluate <span laRD Sharma - Volume 1

Evaluate <span laRD Sharma - Volume 1

Evaluate <span laRD Sharma - Volume 1

Evaluate <span laRD Sharma - Volume 1

Evaluate <iRD Sharma - Volume 1