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CB_2023
HSC - উচ্চতর গণিত ১ম পত্র
→
অধ্যায়-১০ঃ যোগজীকরণ
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g
(
x
)
=
x
\mathrm {g(x)=\sqrt{x}}
g
(
x
)
=
x
হলে —
i.
∫
1
g
(
x
)
d
x
=
2
x
+
c
ii.
∫
0
1
g
(
x
)
d
x
=
2
3
iii.
∫
sec
2
x
d
x
g
(
tan
x
)
=
2
tan
x
+
c
\begin{array}{l} \mathrm { \text{i. } \quad~~\int \dfrac{1}{g(x)} d x=2 \sqrt{x}+c}\\\mathrm { \text{ii. } \quad~ \int_{0}^{1} g(x) d x=\dfrac{2}{3}}\\\mathrm { \text{iii. } \quad\int \dfrac{\sec ^{2} x d x}{g(\tan x)}=2 \sqrt{\tan x}+c}\end{array}
i.
∫
g
(
x
)
1
dx
=
2
x
+
c
ii.
∫
0
1
g
(
x
)
dx
=
3
2
iii.
∫
g
(
tan
x
)
sec
2
xdx
=
2
tan
x
+
c
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