document.write( "Question 999084: Sin2theta+cos4theta \n" ); document.write( "
Algebra.Com's Answer #616773 by addingup(3677)![]() ![]() You can put this solution on YOUR website! what do you need the integral or the derivative? \n" ); document.write( "Here's the derivative: \n" ); document.write( "d/dtheta(sin(2)theta+cos(4)theta) \n" ); document.write( "Let's differentiate the terms and factor out the constants: \n" ); document.write( "cos(4)(d/dtheta(theta))+(d/dtheta(theta))sin(2) \n" ); document.write( "(d/dtheta(theta)) sin(2)+cos(4)1 <--- Derivative of theta is 1 \n" ); document.write( "cos(4)+1sin(2) Simplify: \n" ); document.write( "cos(4)+sin(2) \n" ); document.write( "--------------- \n" ); document.write( "Indefinite integral: \n" ); document.write( "∫(theta*sin(2)+theta*cos(4))dtheta \n" ); document.write( "(sin(2)+cos(4))∫theta d theta \n" ); document.write( "= 1/2theta^2(sin(2)+cos(4))+constant \n" ); document.write( " |