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BB_2023
HSC - উচ্চতর গণিত ১ম পত্র
→
অধ্যায়-১০ঃ যোগজীকরণ
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All Topics
f
(
x
)
=
sin
2
x
\mathrm {f(x)=\sin 2 x}
f
(
x
)
=
sin
2x
হলে —
i.
∫
f
(
x
)
d
x
=
−
cos
2
x
2
+
c
ii.
∫
1
+
f
(
x
)
d
x
=
sin
x
−
cos
x
+
c
iii.
∫
0
π
2
1
−
f
(
x
)
d
x
=
0
\begin{array}{l} \mathrm {\text{i. } \int f(x) d x=-\dfrac{\cos 2 x}{2}+c}\\\mathrm {\text{ii. } \int \sqrt{1+f(x)} d x=\sin x-\cos x+c} \\\mathrm {\text{iii. } \int_{0}^{\frac{\pi}{2}} \sqrt{1-\mathrm{f}(\mathrm{x})} \mathrm{dx}=0}\end{array}
i.
∫
f
(
x
)
dx
=
−
2
cos
2x
+
c
ii.
∫
1
+
f
(
x
)
dx
=
sin
x
−
cos
x
+
c
iii.
∫
0
2
π
1
−
f
(
x
)
dx
=
0
নিচের কোনটি সঠিক ?
A.
i ও ii
B.
i ও iii
C.
ii ও iii
D.
i, ii ও iii
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