Top answers

Integrate the function f(x) = ax^2 + bx + c over the interval [0,1], where a, b and c are constants.

Firstly remember that d/dx(x^n) = nx^(n-1). And so the antiderivative, or integral of x^n, i.e. \int(x^n) = x^(n+1)/(n+1) + C (where C is the integration constant). When integrating with limits, i.e. when we...
AA
Answered by Anvarbek A. • Maths tutor
5589 Views

Find the general solution, in degrees, of the equation 2sin(3x+45°)=1. Use your general solution to find the solution of 2sin(3x+45°)=1 that is closest to 200 °.

The first thing to do when we are facing a trigonometry problem is to to draw the sine and cosine diagram on the unit circle. That takes very little time to do and is incredibly helpful to visualize the peri...
FS
Answered by Francesco S. • Maths tutor
6678 Views

Find the area under the curve y = (4x^3) + (9x^2) - 2x + 7 between x=0 and x=2

To be able to solve this, the equation needs to be integrated. To do this, simple integration needs to be applied where the power of 'x' increases by 1 and the coefficient of 'x' is divided by the new power....
YS
Answered by Yash S. • Maths tutor
5478 Views

Find INT{2,1}{x^4 + 3x^2 + 2}

This is a typical AS-level Maths question. We see it’s a definite integral so start by drawing some big square brackets with the “limits” (2 and 1). We go through the expression inside the integral (the “int...
AF
Answered by Andrew F. • Maths tutor
4320 Views

How could I sketch a graph of y=2x^3-3x^2?

To sketch a graph of an equation, there are several key features to consider. Firstly, we can consider where the graph crosses the x- and y-axes. When x=0, y=0, so the graph goes through the origin. If y=0, ...
LH
Answered by Lawrence H. • Maths tutor
13290 Views