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Science
:
Math Exam Resources/Courses/MATH105/April 2015/Question 01 (e)/Hint 1
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From UBC Wiki
<
Science:Math Exam Resources
|
Courses/MATH105
|
April 2015
|
Question 01 (e)
Use the fact that the integral is
linear
, i.e,
∫
a
b
α
f
(
x
)
d
x
=
α
∫
a
b
f
(
x
)
d
x
,
α
∈
R
{\displaystyle \int _{a}^{b}\alpha f(x)\,dx=\alpha \int _{a}^{b}f(x)\,dx,\ \alpha \in \mathbb {R} }
and
∫
a
b
f
(
x
)
+
g
(
x
)
d
x
=
∫
a
b
f
(
x
)
d
x
+
∫
a
b
g
(
x
)
d
x
.
{\displaystyle \int _{a}^{b}f(x)+g(x)\,dx=\int _{a}^{b}f(x)\,dx+\int _{a}^{b}g(x)\,dx.}