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Yuzu Sign In Yuzu: Library Hawkes Learning University of North Carolina Get Homework Help Save Exit Certify Lesson: 6.1 The Indefinite Integral 3/13 Correct Question 4 of 13, Step 1 Find the antiderivative F(x) that satisfies the given condition. F'(x) = 4e^x + 4√x; F(0) = 13 Answer F(x)
Submitted by Jennifer B. Oct. 06, 2021 04:06 a.m.
EXPERT VERIFIED
EXPERT VERIFIED
9 comments
Scott P.
April 15, 2023
yo, this question's all about finding the abtiderivative that satisfies f'x) 4ex 4√x and f0 = 13 the answer gave a solid breakdown using integration and initial condiyion to find tje constant of integration, resulting in fx) 4e^x (4/3)x^3 9 looks lik
Dawn M.
May 4, 2023
thanks for breaking down the steps to find the antiderivative f(x for us! suoer helpful and clear explanation 🙌🏼
Michael V.
July 19, 2023
Grateful for the detailed solution it totally cleared up any confusion I had on this problem. You rock 🚀
Daniel L.
August 25, 2023
Big thanls for helping ne out with this integral problen Your explanation was spot on, much appreciated! 🙏
Brenda D.
August 29, 2023
dounds like a calculus problem eh? integrating f(x to het f(x) classic move. 4e^x plus 4x squsred gettin ontegrated no biggie gotta find that constant of integration, c
Brandon M.
September 3, 2023
Hoin step by step, findin' that Fx) with an extra sprinkle of C for flavor. Cant forget about that initial condition, F(0) equals 13. Add it up find C and boom theres your antiderivative.
Frank R.
November 9, 2023
Calculus always messin' with those constants right? Gotta solbe for C using F(0 equals 13 Once you gor C, pop that baby into F(x equals 4ex plus 4/3 x cubed plus C, and youre golden!
Stephanie B.
December 2, 2023
integrating 4ex plus 4x squared like a boss but dont forget aboit that hidden gem, c gotta dig up that constant by pluggin ib f(0) equals 13 after the integration. thats how you find the full shebang f(x.
Sara N.
December 7, 2023
Integrating the night away, but wait, there's more Gotta solve for C by using F0 equals 13. Pop that constant back into Fx) equals 4ex plus 43 x cubed plus C, and you've cracked the code for the antiderivative