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অসীম স্যার
HSC - উচ্চতর গণিত ১ম পত্র
→
অধ্যায়-১০ঃ যোগজীকরণ
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f
(
x
)
=
sec
x
f(x)=\sec x
f
(
x
)
=
sec
x
হলে-
i.
∫
{
f
(
x
)
}
2
d
x
=
tan
x
+
c
ii.
∫
{
f
(
x
)
}
3
d
x
=
1
2
(
sec
x
tan
x
+
ln
∣
sec
x
+
tan
x
∣
)
+
c
iii.
∫
{
f
(
x
)
}
4
d
x
=
tan
x
+
3
tan
3
x
+
c
\begin{array}{l}\text{i. } \int\{f(x)\}^{2} d x=\tan x+c\\\text{ii. } \int\{f(x)\}^{3} d x=\frac{1}{2}(\sec x \tan x+\ln |\sec x+\tan x|)+c\\\text{iii. } \int\{f(x)\}^{4} d x=\tan x+3 \tan ^{3} \mathrm{x}+\mathrm{c}\end{array}
i.
∫
{
f
(
x
)
}
2
d
x
=
tan
x
+
c
ii.
∫
{
f
(
x
)
}
3
d
x
=
2
1
(
sec
x
tan
x
+
ln
∣
sec
x
+
tan
x
∣
)
+
c
iii.
∫
{
f
(
x
)
}
4
d
x
=
tan
x
+
3
tan
3
x
+
c
নিচের কোনটি সঠিক?
A.
i ও ii
B.
i ও iii
C.
ii ও iii
D.
i, ii ও iii
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