Find the area bounded be the curve with the equation y = x^2, the line x = 1, the line x = -1, and the x-axis.
The answer is 2/3. This can either be obtained by performing a standard integration of y=x^2, using the power rule, between x = 1 and x = -1. Alternatively, integrate y = x^2 between x = 0 and x = 1, then double the result after noticing that y = x^2 is an even function.The latter way avoids dealing with having to cube negative numbers if calculation is not a strong point for the student.
IA
Related Maths A Level answers
All answers ▸A particle is placed on a rough plane which is inclined to the horizontal at an angle θ, where tanθ =4/3, and released from rest. The coefficient of friction between the particle and the plane is 1/3. Find the particle's acceleration.
The line L has equation y = 5 - 2x. (a) Show that the point P (3, -1) lies on L. (b) Find an equation of the line perpendicular to L that passes through P.
Of the following 4 equations, 3 of them represent parallel lines. Which is the odd one out?
Find the equation of the normal line at the point H, where θ= π/6, on the curve with equations x=3sinθ and y=5cosθ