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Evaluate following. 0ln (1+)excos(1-ex)dx substitution, Evaluate following....

Evaluate following. ∫ 0 ln (1 + π )   e x cos(1-e x )dx Solution The limits are little unusual in this case, however that will happen sometimes therefore don't get

Unitary method, what is history of Unitary method

what is history of Unitary method

Calculate one-sided limits, Calculate the value of the following limits. ...

Calculate the value of the following limits. Solution From the graph of this function illustrated below, We can illustrate that both of the one-sided limits suffer

Chain rule, Chain Rule :   If f(x) and g(x) are both differentiable func...

Chain Rule :   If f(x) and g(x) are both differentiable functions and we describe F(x) = (f. g)(x) so the derivative of F(x) is F′(x) = f ′(g(x)) g′(x).  Proof We will s

Series is converges or diverges - limit comparison test, Determine if the f...

Determine if the following series converges or diverges by using limit comparison test. Solution To make use of the limit comparison test we require to find out a seco

Irregular shapes and solids, find the area of the irregular shape 2cm 4cm 4...

find the area of the irregular shape 2cm 4cm 4cm 2cm 5cm 5cm

Definition of natural exponential function, Definition of Natural exponenti...

Definition of Natural exponential function:   The natural exponential function is f( x ) = e x   where, e= 2.71828182845905........ . Hence, since e > 1 we also know that e x

Find the value of a+b, If A, B are acute angles and sinA= cosB, then find t...

If A, B are acute angles and sinA= cosB, then find the value of A+B. Ans:    A + B = 90 o

Fractions, what is greater than three forths

what is greater than three forths

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