find the value of x if √x/π = 49 x +32
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Answer:
We know that π=
7
22
using the given function
So let t=x
π
+7 and differentiate with respect to x, we get,
t=x
π
+7
dx
dt
=πx
π−1
dt=πx
π−1
dx
dt=πx
7
22
−1
dx
dt=πx
7
22−7
dx
dt=πx
7
15
dx
dx=
πx
7
15
dt
Step-by-step explanation:
I=∫
π
2
(x
π
+7)
(x(π+49))
7
15
dx
=∫
π
2
(x
π
+7)
x
7
15
(π+49)
7
15
πx
15/7
dt
=
π
3
(π+49)
7
15
∫
t
1
dt
=
π
3
(π+49)
7
15
logt+C
=
π
3
(π+49)
7
15
log(x
π
+7)
+C
Or
=
π
3
(π+49)
π−1
log(x
π
+7)
+C
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