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Find the integral of y= e^3x / 1+e^x using calculus.

First, you use the substitution u=1+e x which implies that du=e x dx. Then, you factorise e 3x = e 2x e x and replace e x dx with du. Then by rearranging, e 2x = (u-1) 2 , so you are now ready to substitute ...
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Answered by Aliki I. Maths tutor
19638 Views

3x + 2y = 6, 5x+3y=11, solve for x and y.

There are two main methods to solve simultaneous equations. Elimination and Substitution. Usually one is easier and quicker than the other, but this is dependent upon the question you face in the exam so I w...
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Answered by Amy F. Maths tutor
11311 Views

How do I approach an 'evaluate' essay?

Evaluate is a common command term for IB History exams. It is vital that you are familiar with these terms as meeting the demands of the question is a key part of the rubric and will greatly affect your mark...
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Answered by Yuyang C. History tutor
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How do I approach paper 1 unseen poetry?

The poem can be scary and hard to understand as the beauty of poetry lies in its meanings. Here are the steps you should take to write a stellar commentary for paper 1:read the poem and use highlighters to m...
YC
2359 Views

Find the integral of y=6/(e^x+2) using calculus.

First, use the substitution u=e^x (which implies dx=du/u) to make the integral ∫6/(u*(u+2)))du. Next seperate the fraction using partial fractions and expand to form 3∫1/u du - 3∫1/(u+2) du. Next integrate t...
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Answered by Jonathan P. Maths tutor
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