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When you integrate a function why do you add a constant?

That is a good question. Let me try to help you figure this out by working through a few simple examples. We know that differentiation is like a reverse process of right? So let us differentiate a few functi...
MZ
Answered by Mohsin Z. Maths tutor
4952 Views

using integration by parts evaluate the integral of xsinx between x=0 and x =pi/2

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GF
Answered by Gabriel F. Maths tutor
5337 Views

Given that y=4x^3-(5/x^2) what is dy/dx in it's simplest form?

y = 4x^3-5x^-2 dy/dx = 12x^2+10x^-3
TP
Answered by Trishul P. Maths tutor
4531 Views

Solve the following equation for k, giving your answers to 4 decimal places where necessary: 3tan(k)-1=sec^2(k)

3tan(k)-1=sec^2(k) ( ) We want to get this in the form of a quadratic equation in a single variable, and in this case the easiest variable is tan(k). To do this we use the trigonometric identity sec^2(k)=1+t...
KM
Answered by Katrina M. Maths tutor
4232 Views

Solve for 0<x≤2π, cos^2(x)-3cos(x)=5sin^2(x)-2, giving all answers exactly

Use the identity cos^2(x)+sin^2(x)=1, to change the 5sin^(x) into 5-5cos^2(x) and rearrange. Let y=sin(x) and solve the rearranged quadratic (6y^2-3y-3) for y and find the value of x for each solution. y= -0...
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Answered by Ben M. Maths tutor
5738 Views