-cotan(x)
6,561 (i solved it by using this sentence: (9x9) x (9x9)= 81x81=6,561
the integral of the square-root of (x-1)2 = x2/2 - x + C
(x+sinxcosx)/2, can do it by parts or by knowing your double angle formulas
Cosine squared theta = 1 + Sine squared theta
-cosine x
∫ cos(x)/sin2(x) dx = -cosec(x) + C C is the constant of integration.
∫ sin(x)/cos2(x) dx = sec(x) + C C is the constant of integration.
∫ 1/sin2(x) dx = -cot(x) + CC is the constant of integration.
-cotan(x)
6,561 (i solved it by using this sentence: (9x9) x (9x9)= 81x81=6,561
integral of radical sinx
Answer 1 Put simply, sine squared is sinX x sinX. However, sine is a function, so the real question must be 'what is sinx squared' or 'what is sin squared x': 'Sin(x) squared' would be sin(x^2), i.e. the 'x' is squared before performing the function sin. 'Sin squared x' would be sin^2(x) i.e. sin squared times sin squared: sin(x) x sin(x). This can also be written as (sinx)^2 but means exactly the same. Answer 2 Sine squared is sin^2(x). If the power was placed like this sin(x)^2, then the X is what is being squared. If it's sin^2(x) it's telling you they want sin(x) times sin(x).
The indefinite integral of (1/x^2)*dx is -1/x+C.
∫ sin(x) dx = -cos(x) + CC is the constant of integration.
arctan(x)
maths signs