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Definite Integrals
Definite Integrals - Differentiation deals with the rate of change while integration deals with the total change. The definite integrals are evaluated in problems relating to plane, areas, areas and volumes of solid of revolution etc. In this chapter, we confine oursel..
Integration by Substitution
If u is a function of x, we can use the following formula to evaluate an integral. f dx = (f/(du/dx)) du Using the Formula Use of the formula is equivalent to the following procedure: 1. Write u as a function of x..
Indefinite Integrals
Properties of indefinite integral - (1) Let f(x) be a real value differentiable function, th..
Properties of indefinite integral - (1) Let f(x) be a real value differentiable function, th..Standard integrals
By method of completing squares ax 2 + bx + c is expressed as A 2 - X 2 or X 2 - A 2 or A 2 + x 2 and the integral reduces to which can be evaluated using the standard integrals..
By method of completing squares ax 2 + bx + c is expressed as A 2 - X 2 or X 2 - A 2 or A 2 + x 2 and the integral reduces to which can be evaluated using the standard integrals..Integration by Substitution
Integration of the form - Put g(x) = t Differentiating g(x) with respect to t, we have g'(x) dx = dt F(t) + C F(g(x)) +..
Integration of the form - Put g(x) = t Differentiating g(x) with respect to t, we have g'(x) dx = dt F(t) + C F(g(x)) +..
Some Special Integrals
01. - Prove th..
01. - Prove th..Conclusion Definite Integrals
Conclusion Definite Integrals - In this chapter we have studied the properties of definite integrals and application of definite integrals in evaluating the area of plane curves.In this chapter we have studied the properties of definite integrals and applicat..
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