Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Calculate
∫
(
x
−
1
)
cos
4
x
d
x
\displaystyle \int (x-1)\cos 4x\,dx
∫
(
x
−
1
)
cos
4
x
d
x
. a)
1
4
(
x
−
1
)
cos
4
x
+
1
16
sin
4
x
+
C
\dfrac{1}{4}(x-1)\cos 4x+\dfrac{1}{16}\sin 4x+C
4
1
(
x
−
1
)
cos
4
x
+
16
1
sin
4
x
+
C
b)
1
4
(
x
−
1
)
sin
4
x
+
1
16
cos
4
x
+
C
\dfrac{1}{4}(x-1)\sin 4x+\dfrac{1}{16}\cos 4x+C
4
1
(
x
−
1
)
sin
4
x
+
16
1
cos
4
x
+
C
c)
1
4
(
x
−
1
)
sin
4
x
−
1
16
cos
4
x
+
C
\dfrac{1}{4}(x-1)\sin 4x-\dfrac{1}{16}\cos 4x+C
4
1
(
x
−
1
)
sin
4
x
−
16
1
cos
4
x
+
C
d)
1
4
(
x
+
1
)
sin
4
x
+
1
16
cos
4
x
+
C
\dfrac{1}{4}(x+1)\sin 4x+\dfrac{1}{16}\cos 4x+C
4
1
(
x
+
1
)
sin
4
x
+
16
1
cos
4
x
+
C
Browse the problem library