Posted by **Tracy** on Saturday, November 19, 2011 at 1:24pm.

Evaluate the integral sin4x cos^2 4x dx

A. cos^3 4x/3 +C

B. - cos^3 4x/3 +C

C. cos^3 4x/12 +C

D. -cos^3 4x/12 +C

- Calculus -
**Bosnian**, Saturday, November 19, 2011 at 1:52pm
Go on: wolframalpha dot com

When page be open in rectangle type:

integrate sin(4x) cos^2(4x) dx

and click option =

After few seconds when you see result click option: Show steps

On wolframalpha dot com you can practice any kind of calculus.

- Calculus -
**Reiny**, Saturday, November 19, 2011 at 2:39pm
Notice that the derivative of the power cos^2 (4x) shows up as multiple, so we can just reverse the chain rule

I know that it must be something like (cos 4x)^3....

so from y ' = sin 4x (cos 4x)^2

we get y = sin 4x (cos 4x)^3 (1/3) (-1/sin 4x) (1/4)

= (-1/12) cos^3 (4x) )

which if you had used brackets correctly would have been C>

## Answer this Question

## Related Questions

- calculus - Differentiate. y= (cos x)^x u= cos x du= -sin x dx ln y = ln(cos x)^x...
- Calculus - Evaluate (Integral) sin 4x cos^2 4x dx. A. Cos^3(4x)/3 + C B. -Cos^3(...
- Calc. - Differentiate. y= (cos x)^x u= cos x du= -sin x dx ln y = ln(cos x)^x ln...
- math - Determine exact value of cos(cos^-1(19 pi)). is this the cos (a+b)= cos a...
- pre-cal - Simplify the given expression........? (2sin2x)(cos6x) sin 2x and cos ...
- Integral - That's the same as the integral of sin^2 x dx. Use integration by ...
- Math - Calculus - The identity below is significant because it relates 3 ...
- maths - Find the roots of z^6 + 1 and hence resolve z^6 + 1into read quadratic ...
- maths - Find the roots of z^6 + 1 and hence resolve z^6 + 1into read quadratic ...
- Math - Solving Trig Equations - What am I doing wrong? Equation: sin2x = 2cos2x ...

More Related Questions