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The tangent to the graph at forms an angle of
MATHEMATICS · Numerical · CBSE · Mathematics · Integrals · Integrals
Problem
The tangent to the graph
y
=
f
(
x
)
y=f(x)
y
=
f
(
x
)
at
x
=
1
x=1
x
=
1
forms an angle of
π
6
\frac{\pi}{6}
6
π
, at
x
=
2
x=2
x
=
2
forms an angle of
π
3
\frac{\pi}{3}
3
π
, and at
x
=
3
x=3
x
=
3
forms an angle of
π
4
\frac{\pi}{4}
4
π
. Find the value of
∫
1
3
f
′
(
x
)
f
′
′
(
x
)
d
x
+
∫
2
3
f
′
′
(
x
)
d
x
\int_1^3f'(x)f''(x)\,dx+\int_2^3f''(x)\,dx
∫
1
3
f
′
(
x
)
f
′′
(
x
)
d
x
+
∫
2
3
f
′′
(
x
)
d
x
.
Related theory
Accumulation Concepts
Integration Techniques
Integration by Substitution
Integrals
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