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APPLICATIONS OF INTEGRAL CALCULUS

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Integration literally means uniting together. 1.INTEGRATION IS WIDELY USED IN FINDING AREAS AND VOLUMES. f(x)= area of (a1+a2+a3+...+a8) + c 2. INTEGRATION IS USED IN CACULATION OF MOMENT OF INERTIA OF AN OBJECT. 3. IT IS USED IN ARCHITECTURE WHILE CONSTRUCTING CURVED STRUCTURES. 4. IT IS USED IN ECONOMICS TO FIND THE CONSUMER SURPLUS. 5. IT IS USED TO FIND HEART RATE AND  IN CALCULATION OF HEIGHT OF BONES .

FACTS ABOUT INTEGRAL CALCULUS

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The process of finding integrals is called  integration. The  equivalent word  of integration is Summation. Newton and Leibniz formulated the principles of Integration. The notation for the indefinite integral was introduced by  Leibniz. Leibniz adapted the integral symbol  " ∫"  from the letter "long s" in latin.     ( The long S stands for  summa- meaning - "  sum" or "total" ) The notation for the definite integral with limits above and below the integral sign was introduced by Fourier.   When limits are specified,    the integral is called a definite integral. When the limits are omitted, as in {\displaystyle \int f(x)\,dx,} the integral is called an indefinite integral,