What is the antiderivative of xx2+4? Calculus Introduction to Integration Definite and indefinite integrals 1 Answer Andrea S. Jun 10, 2018 ∫xdxx2+4=12ln(x2+4)+C Explanation: Substitute t=x2+4, dt=2xdx, so that: ∫xdxx2+4=12∫dtt=12ln|t|+C and undoing the substitution: ∫xdxx2+4=12ln(x2+4)+C Answer link Related questions What is the difference between definite and indefinite integrals? What is the integral of ln(7x)? Is f(x)=x^3 the only possible antiderivative of f(x)=3x^2? If not, why not? How do you find the integral of x2−6x+5 from the interval [0,3]? What is a double integral? What is an iterated integral? How do you evaluate the integral 1√49−x2 from 0 to 7√32? How do you integrate f(x)=∫sin(et)dt between 4 to x2? How do you determine the indefinite integrals? How do you integrate x2√x4+5? See all questions in Definite and indefinite integrals Impact of this question 31557 views around the world You can reuse this answer Creative Commons License