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Mathematics
Problem
Evaluate
∫
(
2
x
−
5
x
2
+
8
cos
3
x
)
d
x
\displaystyle \int \left(2\sqrt{x} - \dfrac{5}{x^{2}} + 8\cos 3x\right)\,dx
∫
(
2
x
−
x
2
5
+
8
cos
3
x
)
d
x
. a)
4
3
x
3
/
2
−
5
x
+
8
3
sin
3
x
+
C
\dfrac{4}{3}x^{3/2} - \dfrac{5}{x} + \dfrac{8}{3}\sin 3x + C
3
4
x
3/2
−
x
5
+
3
8
sin
3
x
+
C
b)
4
3
x
3
/
2
+
5
x
2
+
8
3
sin
3
x
+
C
\dfrac{4}{3}x^{3/2} + \dfrac{5}{x^{2}} + \dfrac{8}{3}\sin 3x + C
3
4
x
3/2
+
x
2
5
+
3
8
sin
3
x
+
C
c)
4
3
x
3
/
2
+
5
x
+
8
3
sin
3
x
+
C
\dfrac{4}{3}x^{3/2} + \dfrac{5}{x} + \dfrac{8}{3}\sin 3x + C
3
4
x
3/2
+
x
5
+
3
8
sin
3
x
+
C
d)
4
3
x
3
/
2
+
5
x
+
8
sin
3
x
+
C
\dfrac{4}{3}x^{3/2} + \dfrac{5}{x} + 8\sin 3x + C
3
4
x
3/2
+
x
5
+
8
sin
3
x
+
C
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