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Q.

Consider the following statements 
(A) By help of differentiation, if y is given, we can find dy/ dx.
(B) By help of integration, if dy/dx is given, we can find y.
Select the correct options

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a

(A) is true but (B) is false

b

(A) is false but (B) is true

c

Both (A) and (B) are false

d

Both (A) and (B) are true

answer is B.

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Detailed Solution

If y=f(x) is given we can differentiate f(x) to get dydx.

If dydx=g(x) is given , then  y=dydxdx +c .If the value of y for a particular value of x is not given , then value of c cannot be determined , therefore correct expression for y cannot be determined .

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