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Determine the constant such that for every real number , _ 0 ^ t kx ,dx = t^ 2 .
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Determine the constant
k
k
k
such that for every real number
t
>
0
t>0
t
>
0
,
∫
0
t
k
x
d
x
=
t
2
.
\displaystyle\int_{0}^{t} kx\,dx = t^{2}.
∫
0
t
k
x
d
x
=
t
2
.
Related theory
Antiderivatives
Accumulation Concepts
Fundamental theorem of calculus
Definite integrals
Integrals
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