Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Evaluate
∫
(
5
x
−
3
)
cos
2
x
d
x
\displaystyle \int (5x-3)\cos 2x\,dx
∫
(
5
x
−
3
)
cos
2
x
d
x
. a)
(
5
x
−
3
)
sin
2
x
+
5
2
cos
2
x
+
C
(5x-3)\sin 2x+\dfrac{5}{2}\cos 2x+C
(
5
x
−
3
)
sin
2
x
+
2
5
cos
2
x
+
C
b)
1
2
(
5
x
−
3
)
sin
2
x
+
5
4
cos
2
x
+
C
\dfrac{1}{2}(5x-3)\sin 2x+\dfrac{5}{4}\cos 2x+C
2
1
(
5
x
−
3
)
sin
2
x
+
4
5
cos
2
x
+
C
c)
1
2
(
5
x
−
3
)
sin
2
x
−
5
4
cos
2
x
+
C
\dfrac{1}{2}(5x-3)\sin 2x-\dfrac{5}{4}\cos 2x+C
2
1
(
5
x
−
3
)
sin
2
x
−
4
5
cos
2
x
+
C
d)
1
2
(
5
x
−
3
)
cos
2
x
+
5
4
sin
2
x
+
C
\dfrac{1}{2}(5x-3)\cos 2x+\dfrac{5}{4}\sin 2x+C
2
1
(
5
x
−
3
)
cos
2
x
+
4
5
sin
2
x
+
C
Browse the problem library