One important question type to be able to answer is integrating squared trig functions. like cos^2(x)
This question requires selecting the correct double angle formulae.
cos(2x)=2cos^2(x)-1 is rearranged to 1/2(cos(2x)+1)
this can now be integrated with the students knowledge of standard integrals.
Cos integrates to sin and numbers integrate to x . Remembering the factor of 2 from the fact that its cos (2x) we get ;
1/4 (sin(2x)) +1/2 x
AR
Related Maths A Level answers
All answers ▸The first three terms of an arithmetic series are p, 5p – 8, and 3p + 8 respectively. (a) Show that p=4 (b) Find the value of the 50th term in the series.
The graphs of functions f(x)=e^x and h(x)=e^(-.5x), where x is a real number and 0<x<1 ,lie on a plane. Draw these functions and find the area they and the line x=0.6 enclose using integration correct to 3 decimal places
The polynomial p(x) is, p(x)= x3-5x2-8x+48.Use the Factor Theorem to show that (x + 3)is a factor of p(X)
Express (3-5x)/(x+3)^2 in the form A/(x+3) + B/(x+3)^2