Q1.integration of √ ( a² - x² ) dx is?
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1
Answer:
∫
a
1−(
a
x
)
2
dx
=
a
1
∫
1−(
a
x
)
2
dx
Let
a
x
=sint
⇒dx=a.cost.dt
=
a
1
∫
1−sin
2
t
a.cost.dt
=
a
1
∫
cost
a.cost.dt
=∫dt=t+c=sin
−1
[
a
x
]+c.where c is the constant of integration.
Step-by-step explanation:
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