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Determine the indefinite integral .
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
Determine the indefinite integral
∫
−
7
x
−
2
d
x
\displaystyle \int -\sqrt{7}\,x^{-2}\,dx
∫
−
7
x
−
2
d
x
. (a)
7
2
x
−
2
+
C
\dfrac{\sqrt{7}}{2}\,x^{-2}+C
2
7
x
−
2
+
C
(b)
7
x
+
C
\dfrac{\sqrt{7}}{x}+C
x
7
+
C
(c)
−
7
x
+
C
-\dfrac{\sqrt{7}}{x}+C
−
x
7
+
C
(d)
7
3
x
−
3
+
C
\dfrac{\sqrt{7}}{3}\,x^{-3}+C
3
7
x
−
3
+
C
Related theory
Antiderivatives
Standard algebraic integrals
Integrals of standard functions
Integrals
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