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find the definite integral between limits 1 and 2 of (4x^3+1)/(x^4+x) with respect to x

first notice the integral is in the form f'(x)/f(x), and indefinite integrals of this form are ln|f(x)|+c. therefore the integral is [ln|x 4 +x|] between limits 1 and 2. subbing in limits gives ln|2 4 +2|-ln...
TD
Answered by Tutor22645 D. • Maths tutor
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How to balance a chemical equation.

Balancing chemical equations can seem tricky at first, especially when starting out. But by following an order it becomes a quick and easy task. For the sake of this question, we'll balance this equation: C ...
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Answered by Youssef M. • Chemistry tutor
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What are the postulates of special relativity?

There are two postulates of special relativity: 1. The laws of physics are invariant in all inertial frames of reference. What this means is that if we have a description for how physical systems undergo cha...
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Answered by Srijan P. • Physics tutor
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Can you solve (2x-4)(x+1)=0?

All we need to do here is find the values of x that make each bracket zero.So2x-4=02x=4x=2andx+1=0x=-1
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Answered by Samuel I. • Maths tutor
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Form the differential equation representing the family of curves x = my , where, m is arbitrary constant.

Differentiating the above equation with respet to y:dx/dy = m;Substituting the value of m in the given form:x = (dx/dy) y i.e. the solution is(dx/dy) y - x = 0
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Answered by Piyush S. • Maths tutor
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