Introduction
Binomial Theorem is the method of expanding an expression that has been raised to a finite power. In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.

Consider the expansion of (x + y)5

(x + y)5 = (x + y)(x + y)(x + y)(x + y)(x + y)

The first term is obtained by multiplying the xs in the five brackets, there is only one way to doing this.

(x + y)n = xn + nxn-1y + n(n-1)/2! xn-2y2 + n(n-1)(n-2)/3! xn-3y3 + ...n(n-1)(n-2)...(n-r+1)/r! xn-ryr + ...yn

It can be shown that the binomial formula holds for positive, negative, integral or any rational value of n, provided there is a restriction on the values of x and y in the expansion of (x + y)n. We shall however consider only the binomial expansion formula for a positive integral n.

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Definite Integral
In this part, the constant is removed. If a definite integration is performed, the function is evaluated between the values called limits. Upper and lower i.e. ∫3-2 (x2)dx

Example Evaluate ∫32(3x2)dx

∫3x2 = x3+c, (33 + c) - (23+c)

(27+C) - (8+C) , 27+C-8-C = 19

∫32(3x2)dx = 19

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