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অসীম স্যার
HSC - উচ্চতর গণিত ১ম পত্র
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অধ্যায়-১০ঃ যোগজীকরণ
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f
(
x
)
=
a
2
+
x
2
f(x)=a^{2}+x^{2}
f
(
x
)
=
a
2
+
x
2
হলে-
i.
∫
d
x
f
(
x
)
=
1
a
tan
−
1
(
x
a
)
+
c
ii.
∫
d
x
f
(
x
)
=
ln
∣
x
+
x
2
+
a
2
∣
+
c
iii.
∫
d
x
{
f
(
x
)
}
3
=
x
a
2
x
2
+
a
2
+
c
\begin{array}{l}\text{i. } \int \frac{d x}{f(x)}=\frac{1}{a} \tan ^{-1}\left(\frac{x}{a}\right)+c\\\text{ii. } \int \frac{d x}{\sqrt{f(x)}}=\ln \left|x+\sqrt{\mathrm{x}^{2}+\mathrm{a}^{2}}\right|+c\\\text{iii. } \int \frac{d x}{\sqrt{\{f(x)\}^{3}}}=\frac{x}{a^{2} \sqrt{x^{2}+a^{2}}}+c\end{array}
i.
∫
f
(
x
)
d
x
=
a
1
tan
−
1
(
a
x
)
+
c
ii.
∫
f
(
x
)
d
x
=
ln
x
+
x
2
+
a
2
+
c
iii.
∫
{
f
(
x
)
}
3
d
x
=
a
2
x
2
+
a
2
x
+
c
নিচের কোনটি সঠিক?
A.
i ও ii
B.
ii ও iii
C.
i ও iii
D.
i, ii ও iii
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