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integral 0 to pi e^cosx cos (sinx) dx, Let u = sin(x). Then du = cos(x) dx...

Let u = sin(x). Then du = cos(x) dx. So you can now antidifferentiate e^u du. This is e^u + C = e^sin(x) + C.  Then substitute your range 0 to pi. e^sin (pi)-e^sin(0) =0-0 =0

Add subtract fractions., how do you add and subtract mixed numbers with fra...

how do you add and subtract mixed numbers with fractions

Determines the possibility, There is a committee to be selected comprising ...

There is a committee to be selected comprising of 5 people from a group of 5 men and 6 women. Whether the selection is randomly done then determines the possibility of having the g

Permutation and combination, The remainder when 5^99 is divided by 13 Ans) ...

The remainder when 5^99 is divided by 13 Ans) 8 is the remainder.

Systems of differential equations, In the introduction of this section we b...

In the introduction of this section we briefly talked how a system of differential equations can occur from a population problem wherein we remain track of the population of both t

Tangents, find a common tangent to two circles

find a common tangent to two circles

Probability distribution for continuous random variables, Probability Distr...

Probability Distribution for Continuous Random Variables In a continuous distribution, the variable can take any value within a specified range, e.g. 2.21 or 1.64 compared to

What is the greater of two consecutive negative integers, What is the great...

What is the greater of two consecutive negative integers whose product is 132? Let x = the lesser integer and let x + 1 = the greater integer. Because product is a key word for

Graph, Graph A graph G = (V, E) contains a (finite) set that is denote...

Graph A graph G = (V, E) contains a (finite) set that is denote by V, or by V(G) if one wishes to make clear which graph is under consideration, and a collection E, or E(G), o

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