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Classify each of the following as an indefinite integral or a definite integral and…
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Classify each of the following as an indefinite integral or a definite integral and state whether its result is a family of functions or a single numerical value: (a)
∫
(
3
x
2
−
4
)
d
x
\displaystyle \int (3x^2-4)\,dx
∫
(
3
x
2
−
4
)
d
x
(b)
∫
0
2
π
sin
x
d
x
\displaystyle \int_0^{2\pi} \sin x\,dx
∫
0
2
π
sin
x
d
x
Related theory
Accumulation Concepts
Antiderivatives
Fundamental theorem of calculus
Integration as inverse process of differentiation
Integrals
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