Question

integrals: if f(x) = ax + b, determine a and b

Answer 1

\[\int\limits_{1}^{3}f(x)dx=\frac{ 5 }{ 2 }\]
\[\int\limits_{1}^{5}f(x)dx = 10\]

Answer 2

Okay, so can you tell me what the the integral of ax+b is?

Answer 3

ax/2^a + bx + c

Answer 4

\[\int_1^3 (ax+b)dx=\frac{5}{2}\]\[\rightarrow\left.\frac{a}{2}x^2 + bx \right]_1^3 = \frac{5}{2}\]

Answer 5

In definite integrals there is no c value.

Answer 6

oops i mean ^2

Answer 7

\[ax^2/2 + bx + c\iff \int(ax+b)dx\]

Answer 8

what do i do from here?

Answer 9

Perhaps you can solve each integral in terms of both a and b and solve the two derived equations as a system of linear equations? That is my first guess, might be wrong.