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MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem Identify the correct property of indefinite integrals for the sum of two functions f ( x ) f(x) f ( x ) g ( x ) g(x) g ( x ) ∫ [ f ( x ) + g ( x ) ] d x = ∫ f ( x ) d x ⋅ ∫ g ( x ) d x \displaystyle \int [f(x)+g(x)]\,dx = \int f(x)\,dx \cdot \int g(x)\,dx ∫ [ f ( x ) + g ( x )] d x = ∫ f ( x ) d x ⋅ ∫ g ( x ) d x ∫ [ f ( x ) + g ( x ) ] d x = ∫ f ( x ) d x + ∫ g ( x ) d x \displaystyle \int [f(x)+g(x)]\,dx = \int f(x)\,dx + \int g(x)\,dx ∫ [ f ( x ) + g ( x )] d x = ∫ f ( x ) d x + ∫ g ( x ) d x ∫ [ f ( x ) + g ( x ) ] d x = ∫ f ( x ) d x − ∫ g ( x ) d x \displaystyle \int [f(x)+g(x)]\,dx = \int f(x)\,dx - \int g(x)\,dx ∫ [ f ( x ) + g ( x )] d x = ∫ f ( x ) d x − ∫ g ( x ) d x ∫ [ f ( x ) + g ( x ) ] d x = ∫ [ f ( x ) g ( x ) ] d x \displaystyle \int [f(x)+g(x)]\,dx = \int [f(x)g(x)]\,dx ∫ [ f ( x ) + g ( x )] d x = ∫ [ f ( x ) g ( x )] d x Browse the problem library