Saturday

April 19, 2014

April 19, 2014

Posted by **Scott** on Thursday, September 23, 2010 at 11:02am.

I know the answer is 1/17 e^x sin4x - 4/17 e^x cos4x + C but I don't know how to solve it out.

- Calculus -
**MathMate**, Thursday, September 23, 2010 at 4:01pmUse integration by parts:

I=∫e^{x}sin(4x)dx

=e^{x}sin(4x)-4∫e^{x}cos(4x)dx

=e^{x}sin(4x)-4e^{x}cos(4x)-16∫e^{x}sin(4x)dx

=e^{x}sin(4x)-4e^{x}cos(4x)-16I

Solve for I to get the above results.

**Related Questions**

Calculus - cos4x^2 + sin4x^2?

math, calculus - if f(1)=12 and f' is continuous, what is the value of f(4)? ...

Math - simplify (cos4x-cos2x)/(sin4x+sin2x) the answer choices are : cotx, tanx...

Trig - cos4x*cos3x + sin4x*sin3x

math - find the amplitude and period of: 2 cos4x + 5 sin4x

Algebra/trigonometry - The expression cos4x cos3x+ sin4x sin3x is equilvalent to...

calculus - evaluate the indefinite integral of ((x+4)/(17+8x+x^2))dx

calculus - Evaluate the limit lim sin4x/tan9x x-> 0

math(advanced algebra&trigonometry) - the expression cos4x cos3x + sin4x sin3x ...

Calculus - find the derivative (df/dx) of the squareroot of sin4x