How do you find the antiderivative of f(x) = 1 / (5cos^2(5x))? Calculus Introduction to Integration Integrals of Trigonometric Functions 1 Answer Salvatore I. ยท Noah G Nov 7, 2016 tan(5x)/25 + C Explanation: As the derivative of tan(x) is 1/cos^2(x), we can deduce that int1/(5cos^2(5x))=tan(5x)/25+ "Constant" 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 1875 views around the world You can reuse this answer Creative Commons License