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X² -> 2X

3X -> 3

7 -> 0

Therefore X² + 3X + 7 integrates to 2X + 3

Use quotient rule to differentiate:

dy/dx = (18x(3x+2) - 3(9x²+1))/(3x+2)²

set dy/dx=0:

54x² + 36x - 27x² - 3 = 0

9x² + 1...

This can be done by taking moments. To reduce the number of equations a moment should  be taken so that one of the forces goes through the centre of place from which moments are being taken. We will choos...

Analyse the integral, common functions in which integration by parts is the best method include lnx and polynomials of x multiplied by exponential functions or sine and cosine functions. If this is the ca...

When you differentiate a function it is giving you the rate of change of that function for different values of x. After subituting in, if it is positive it tells us that the graph is increasing, if it is ...