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অসীম স্যার
HSC - উচ্চতর গণিত ১ম পত্র
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অধ্যায়-১০ঃ যোগজীকরণ
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All Topics
f
(
x
)
=
cos
(
π
2
−
x
)
f(x)=\cos \left(\frac{\pi}{2}-x\right)
f
(
x
)
=
cos
(
2
π
−
x
)
এবং
g
(
x
)
=
sin
(
π
2
+
x
)
g(x)=\sin \left(\frac{\pi}{2}+x\right)
g
(
x
)
=
sin
(
2
π
+
x
)
হলে-
i.
∫
0
π
2
g
(
x
)
d
x
=
1
ii.
∫
π
2
π
f
(
x
)
d
x
=
1
iii.
∫
π
4
π
2
g
(
x
)
f
(
x
)
d
x
=
ln
2
\begin{array}{l}\text{i. } \int_{0}^{\frac{\pi}{2}} g(x) d x=1\\\text{ii. } \int_{\frac{\pi}{2}}^{\pi} f(x) d x=1\\\text{iii. } \int_{\frac{\pi}{4}}^{\frac{\pi}{2}} \frac{g(x)}{f(x)} d x=\ln \sqrt{2}\end{array}
i.
∫
0
2
π
g
(
x
)
d
x
=
1
ii.
∫
2
π
π
f
(
x
)
d
x
=
1
iii.
∫
4
π
2
π
f
(
x
)
g
(
x
)
d
x
=
ln
2
নিচের কোনটি সঠিক?
A.
i ও ii
B.
i ও iii
C.
ii ও iii
D.
i, ii ও iii
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