document.write( "Question 25734: How do i solve the integral of sin(60t)e^(20t) \n" ); document.write( "
Algebra.Com's Answer #14665 by venugopalramana(3286) You can put this solution on YOUR website! LET US USE THE SYMBOL \n" ); document.write( "I[F(X)DX]FOR INTEGRAL F(X)W.R.T.X \n" ); document.write( "LET K=I[SIN(60T)*E^20T DT]....INTEGRATING BY PARTS...I[UV]=U*I[V]-I[U'I[V]] \n" ); document.write( "=SIN(60T)*I[E^20T DT]-I[60COS(60T)*I[E^20T DT]DT] \n" ); document.write( "=SIN(60T)(E^20T)/20-I[3COS(60T)*E^20T DT] \n" ); document.write( "=SIN(60T)(E^20T)/20-[3COS(60T)*I[E^20T DT]-I[(-180SIN(60T))*I[E^20T DT]DT] \n" ); document.write( "=SIN(60T)(E^20T)/20-[3COS(60T)*I[E^20T DT]-I[(-180SIN(60T))*I[E^20T DT]DT] \n" ); document.write( "=SIN(60T)(E^20T)/20-[3COS(60T)*E^20T/20-I[-9SIN(60T)*E^20T DT]] \n" ); document.write( "=SIN(60T)(E^20T)/20-[3COS(60T)*E^20T/20+9K] \n" ); document.write( "K=SIN(60T)(E^20T)/20-3COS(60T)*E^20T/20-9K \n" ); document.write( "10K=SIN(60T)(E^20T)/20-3COS(60T)*E^20T/20 \n" ); document.write( "K=(1/200)*{SIN(60T)(E^20T)-3COS(60T)*E^20T} \n" ); document.write( " |