Top answers

How do we integrate x^2?

(x^3)/3 + C
MK
Answered by Mueen K. • Maths tutor
4260 Views

Solve for x, 5sin(x) - 3cos(x) = 2 , in the interval 0<x<2pi

5sin(x)-3cos(x)=2 Express in the form Rsin(x-@) = Rsin(x)cos@ - Rcos(x)sin@ Rcos@ =5 Rsin@ = 3 tan@ = 3/5 @=tan -1 (3/5)= 0.540 R = sqrt(5 2 +3 2 )= sqrt(34) sqrt(34)sin(x-0.540) = 2 sin(x - 0.540) = 0.343 L...
SM
Answered by Stefan M. • Maths tutor
5001 Views

Use implicit differentiation to find dy/dx of: 2(x^2)y + 2x + 4y - cos((pi)y) = 17

Tackle this problem one part at a time: First differentiate 2x 2 y using the product rule, showing dy/dx(2x 2 y) = 4xy + 2x 2 (dy/dx). After this, the remainder of the question is easier, as there are no mor...
NE
Answered by Nick E. • Maths tutor
6146 Views

Why don't I have to put the +C after my answer for a definite integral?

When you evaluate a definite integral, we can think about using the &quot;+C&quot; and see what happens. Let's take (INT)2x dx between 2 and 3. We then have [x 2 +C] between 2 and 3. For x=3 we have 9+C, and...
JC
Answered by Joseph C. • Maths tutor
7676 Views

Integrate 1 / x(2sqrt(x)-1) on [1,9] using x = u^2 (u > 0).

Differentiate x = u 2 to get dx = 2u du. We need to change the limits, too: 1 &lt;= x &lt;= 9 &lt;==&gt; 1 &lt;= u 2 &lt;= 9 &lt;==&gt; 1 &lt;= u &lt;= 3 (since we are given u &gt; 0). Now we can substitute ...
TD
Answered by Tutor69809 D. • Maths tutor
5379 Views