document.write( "Question 30631: What is the integral of a trigonometric function squared? for example,. sin(squared) of 3x. \n" ); document.write( "
Algebra.Com's Answer #17366 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! What is the integral of a trigonometric function squared? for example,. sin(squared) of 3x. \n" ); document.write( "IT DEPENDS ON THE FUNCTION.. \n" ); document.write( "FOR EXAMPLE \n" ); document.write( "INTEGRAL {SEC (X)}^2 IS TAN(X)+K \n" ); document.write( "BUT IF YOU WANT FOR \n" ); document.write( "{SIN(3X)}^2....WE FIRST CHANGE IT TO MULTIPLE ANGLE BY USING \n" ); document.write( "COS(2X) =1-2*{SIN(X)}^2....FORMULA...SO WE GET \n" ); document.write( "{SIN(3X)}^2 = {1-COS(2*3X)}/2=(1-COS(6X))/2...NOW INTEGRATION IS EASY ..IT IS \n" ); document.write( "={X-SIN(6X)/6}/2 =X/2 - (1/12)*SIN(6X) \n" ); document.write( " |