Integrate Equation Paper For Free

Integration formulas are the formulas which are used to solve various integration problems, ? 1 dx = x + C. ? xn dx = x(n + 1)/(n + 1)+ C. ? 1/x dx = log |x| + C. ? ex dx = ex + C. ? ax dx = ax /log a+ C. ? ex [f(x) + f'(x)] dx = ex f(x) + C {where, f'(x) = d/dx[f(x)]}

In Maths, integration is a method of adding or summing up the parts to find the whole. It is a reverse process of differentiation, where we reduce the functions into parts.

Solving a directly-integrable equation is easy: First solve for the derivative to get the equation into form (2.1) or (2.1?), then integrate both sides as many times as needed to eliminate the derivatives, and, finally, do whatever simplification seems appropriate.

The list of basic integral formulas is given below: ? 1 dx = x + C. ? a dx = ax+ C. ? xn dx = ((xn+1)/(n+1))+C ; n?1. ? sin x dx = ? cos x + C. ? cos x dx = sin x + C. ? sec2x dx = tan x + C. ? csc2x dx = -cot x + C. ? sec x (tan x) dx = sec x + C.

Method Step 1 Move all the y terms (including dy) to one side of the equation and all the x terms (including dx) to the other side. Step 2 Integrate one side with respect to y and the other side with respect to x. Don't forget "+ C" (the constant of integration). Step 3 Simplify.

To find the definite integral of a function, we can use the Fundamental Theorem of Calculus, which states: If f is continuous and F is an antiderivative of f, then ? a b f ( x ) d x = [ F ( x ) ] a b = F ( b ) ? F ( a ) \int_{a}^{b} f(x)dx = [F(x)]^b_a = F(b) - F(a) ?abf(x)dx=[F(x)]ab=F(b)?F(a).

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