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To solve this equation for x, we need to get x on its own. To do this, we first need to multiply through by the denominators of the fractions, as none of them contain an x term. Multiplying through by 8 f...

With differentiation and integration, we can take each term separately. In general, to difference a term involving x's with respect to x, you first multiply the power of x by the coefficient of x to find ...

This could be happening for two reasons.  

Firstly, the negative form of the expression that you are being asked to integrate could be appearing in your answer, after you've used the 'integrating b...

for example 3x²+2x+1 differentiated? axⁿ differentiates to (an)x^n-1 therefore 3x² goes to 6x  2x goes to 2 and 1 goes to 0 so the fina...

int(5x³ + (2x)^-1 + e^2x )dx

=int(5x³)dx + int((2x)^-1)dx + int(e^2x )dx

int(5x³)dx = (5/4)x⁴+ c          ...