25
You visited us
25
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Logarithmic Differentiation
Find an anti ...
Question
Find an anti derivative (or integral) of the given function by the method of inspection.
(
a
x
+
b
)
2
Open in App
Solution
We know that,
d
d
x
(
a
x
+
b
)
3
=
3
a
(
a
x
+
b
)
2
⇒
(
a
x
+
b
)
2
=
1
3
a
d
d
x
(
a
x
+
b
)
3
∴
(
a
x
+
b
)
2
=
d
d
x
(
1
3
a
(
a
x
+
b
)
3
)
Therefore, the anti derivative of
(
a
x
+
b
)
2
is
1
3
a
(
a
x
+
b
)
3
.
Suggest Corrections
3
Similar questions
Q.
Find the anti-derivative (or integral) of the following by the method of inspection.
(
a
x
+
b
)
2
.
Q.
Find an anti derivative (or integral) of the given function by the method of inspection.
e
2
x
Q.
Find an anti derivative (or integral) of the given function by the method of inspection.
sin
2
x
Q.
Find an anti derivative (or integral) of the given function by the method of inspection.
sin
2
x
−
4
e
3
x
Q.
Find an anti derivative (or integral) of the given function by the method of inspection.
cos
3
x
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Logarithmic Differentiation
MATHEMATICS
Watch in App
Explore more
NCERT - Standard XII
Logarithmic Differentiation
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app