How do you find the integral of #1/(x^(1/2))sin(x^(1/2))#? Calculus Introduction to Integration Formal Definition of the Definite Integral 1 Answer Monzur R. Jun 20, 2018 #int1/x^(1/2)sin(x^(1/2))"d"x=-2cos(x^(1/2))+"c"# Explanation: Let #u=x^(1/2)# and #"d"u=1/(2x^(1/2))"d"x# so #2"d"u=1/(x^(1/2))"d"x# Then #int1/x^(1/2)sinx^(1/2)"d"x=2intsinu"d"u=-2cosu=-2cosx^(1/2)+"c"# Answer link Related questions What is the Formal Definition of the Definite Integral of the function #y=f(x)# over the... How do you use the definition of the definite integral? What is the integral of dy/dx? What is an improper integral? How do you calculate the double integral of #(xcos(x+y))dr# where r is the region: 0 less than... How do you apply the evaluation theorem to evaluate the integral #3t dt# over the interval [0,3]? What is the difference between an antiderivative and an integral? How do you integrate #3x^2-5x+9# from 0 to 7? Question #f27d5 How do you evaluate the definite integral #int sqrtt ln(t)dt# from 2 to 1? See all questions in Formal Definition of the Definite Integral Impact of this question 4344 views around the world You can reuse this answer Creative Commons License