Question #7d2f5 Calculus Introduction to Integration Integrals of Trigonometric Functions 1 Answer Mr. Raj Nov 16, 2017 1/2x+cosx+c Explanation: int(1/2-sinx )dx =int1/2dx-intsinxdx color(white)(blan) using(intf(x)+g(x)dx=intf(x)dx+intg(x)dx) =1/2x-(-cosx)+ccolor(white)(blan) (intsinxdx=-cosx+c) =1/2x+cosx+c Answer link Related questions How do I evaluate the indefinite integral intsin^3(x)*cos^2(x)dx ? How do I evaluate the indefinite integral intsin^6(x)*cos^3(x)dx ? How do I evaluate the indefinite integral intcos^5(x)dx ? How do I evaluate the indefinite integral intsin^2(2t)dt ? How do I evaluate the indefinite integral int(1+cos(x))^2dx ? How do I evaluate the indefinite integral intsec^2(x)*tan(x)dx ? How do I evaluate the indefinite integral intcot^5(x)*sin^4(x)dx ? How do I evaluate the indefinite integral inttan^2(x)dx ? How do I evaluate the indefinite integral int(tan^2(x)+tan^4(x))^2dx ? How do I evaluate the indefinite integral intx*sin(x)*tan(x)dx ? See all questions in Integrals of Trigonometric Functions Impact of this question 1524 views around the world You can reuse this answer Creative Commons License