INTEGRALS |Exercise 7.6 Q 9 to Q16 | Ch 7 | Class 12 | NCERT | Maths
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INTEGRALS |Exercise 7.6 Q 9 to q16 1| Ch 7 | Class 12 | NCERT | Maths
The different values of C correspond to different members of this
family and these members can be obtained by shifting any one of the curves parallel to
itself. Further, the tangents to the curves at the points of intersection of a line x = a with
the curves are parallel.
There are some methods or techniques for finding the integral where we can not
directly select the antiderivative of function f by reducing them into standard forms.
Some of these methods are based on
1. Integration by substitution
2. Integration using partial fractions
3. Integration by parts.
First Fundamental Theorem of integral Calculus
Let f be a continuous function on the closed interval [a, b] and let A (x) be
the area function . Then A′ (x) = f (x) for all x ∈ [a, b] .
(iii) Second Fundamental Theorem of Integral Calculus
Let f be continuous function defined on the closed interval [a, b] and F be
an antiderivative of f
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