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Find all the values of ( ) for which the equation has a solution
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Find all the values of
a
a
a
(
a
≠
0
a \neq 0
a
=
0
) for which the equation
∫
0
x
(
t
2
−
8
t
+
13
)
d
t
=
x
sin
a
x
\int_0^x (t^2 - 8t + 13) dt = x \sin \frac{a}{x}
∫
0
x
(
t
2
−
8
t
+
13
)
d
t
=
x
sin
x
a
has a solution. Find the solution.
Related theory
Trigonometric Equations
Trigonometric Functions
Integration Techniques
Integration by substitution
Integrals
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