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Integrate 2x^4 - 4/sqrt(x) + 3 dx

First we will simplify 4/sqrt(x) so it is easier to integrate.sqrt(x) is equal to x^1/2, therefore 4/sqrt(x) = 4/x^1/2.We bring up x^1/2so 4/x^1/2 becomes 4x^...

Answered by Maleehah A. • Maths tutor

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Differentiate Y = 4X/(X^2+5) and give dy/dx in its simplest form

4(5-X^2)/(X^2+5)^2

Answered by Mohamed S. • Maths tutor

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Given that the increase in the volume of a cube is given by dV/dt = t^3 + 5 (cm^3/s). The volume of the cube is initially at 5 cm^3. Find the volume of the cube at time t = 4.

Identify that this is a rate of change question and set up the boundary conditions of V = 5 when t = 02) Take the dt to the right side and explain to integrate both sides of the equation to 'sum ove...

Answered by Tommy W. • Maths tutor

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How do I solve a simultaneous equation in two variables when they have with different coefficients?

First have a look at the coefficients of each variable. You're trying to spot if the coefficient of one variable is a multiple of the coefficient of the other in the second equation. If so, you can multi...

Answered by Ryan W. • Maths tutor

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