What is the integral of #int ( sin^3(x))dx#? Calculus Introduction to Integration Integrals of Trigonometric Functions 1 Answer Alberto P. · mason m Nov 9, 2016 #cos^3x/3-cosx+c# Explanation: #intsinxsin^2xdx=intsinx(1-cos^2x)dx=intsinxdx-intsinxcos^2xdx=-cosx+cos^3x/3+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 1577 views around the world You can reuse this answer Creative Commons License