maths

posted by .

Choose the option that gives an expression for the indefinite integral
ʃ (cos(4x) + 2x^2)(sin(4x) − x) dx.
In each option, c is an arbitrary constant.
Options
A cos(4x) + 2x^2 +c
B -1/8cos(4x) + 2x^2)^2 +c
C 1/4 (sin(4x) − x)^2 + c
D (1/(2 (sin(4x) − x)) +c
E ln cos(4x) + 2x^2 +c
F ln (sin(4x) − x) + c
G ln (cos(4x) + 2x^2)/(sin(4x) – x)+ c
H ln (2x^2 sin(4x) − x cos(4x))+ c

• maths -

B in form: -1/8(cos(4x)+2x^2)^2+C

Similar Questions

1. tigonometry

expres the following as sums and differences of sines or cosines cos8t * sin2t sin(a+b) = sin(a)cos(b) + cos(a)sin(b) replacing by by -b and using that cos(-b)= cos(b) sin(-b)= -sin(b) gives: sin(a-b) = sin(a)cos(b) - cos(a)sin(b) …
2. trig integration

s- integral endpoints are 0 and pi/2 i need to find the integral of sin^2 (2x) dx. i know that the answer is pi/4, but im not sure how to get to it. i know: s sin^2(2x)dx= 1/2 [1-cos (4x)] dx, but then i'm confused. The indefinite …

4. Integral

That's the same as the integral of sin^2 x dx. Use integration by parts. Let sin x = u and sin x dx = dv v = -cos x du = cos x dx The integral is u v - integral of v du = -sinx cosx + integral of cos^2 dx which can be rewritten integral …
5. maths

Choose three options which are true: a) an angle of 150 degrees is equivalent to 2pie/3 radians. b) Cos 0 = cos (0 – pie/2) for al values of 0. c) Sin 0 = cos (0 – pie/2) for all values of 0. d) If triangle ABC has a right angle …
6. maths

Choose the option that gives the solution of the initial-value problem dy dx=(1 + 2 cos2x^2)/y (y > 0), y= 1 when x = 0. Options A y = 1+ 2sin^2 x B y = (1 + 2 sin x)^2 C y = (4x + cos(2x))^2 D y = 4x + cos^2 x E y =sqrt(4x + cos(2x) …
7. maths

Choose the option that gives (correct to two decimal places) the area of the region which is bounded by the x-axis and by the graph of y =(20(7 − x)(x − 3))/x^2 . Options A 0.47 B 1.31 C 2.09 D 3.76 E 5.12 F 6.55 G 8.20 …
8. maths

By first applying the Product Rule, choose the option that gives (correct to two decimal places) the overall maximum value of the function f(x) = e^3x cos(2x) on the interval [1/12 π, 1/4π]. Options A 0.49 B 1.90 C 2.19 D …
9. maths

The method for completing the square can be used to write the expression −2x^2 + 12x−5 in the form a(x + b)^2 + c, where a, b and c are constants. Choose the option that gives the value of c. Options A −23 B −13 …
10. Integration by Parts

integral from 0 to 2pi of isin(t)e^(it)dt. I know my answer should be -pi. **I pull i out because it is a constant. My work: let u=e^(it) du=ie^(it)dt dv=sin(t) v=-cos(t) i integral sin(t)e^(it)dt= -e^(it)cos(t)+i*integral cost(t)e^(it)dt …

More Similar Questions