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CBSE
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
Evaluate
∫
5
π
x
d
x
\displaystyle \int \dfrac{5\pi}{x}\,dx
∫
x
5
π
d
x
. (a)
5
π
ln
x
+
C
5\pi\ln x + C
5
π
ln
x
+
C
(b)
5
π
ln
∣
x
∣
+
C
5\pi\ln|x| + C
5
π
ln
∣
x
∣
+
C
(c)
5
π
ln
∣
x
∣
+
C
\dfrac{5\pi}{\ln|x|} + C
ln
∣
x
∣
5
π
+
C
(d)
−
5
π
x
+
C
-\dfrac{5\pi}{x} + C
−
x
5
π
+
C
Related theory
Antiderivatives
Standard algebraic integrals
Integrals of standard functions
Integrals
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