Thomas E.

asked • 01/28/18# This was on my first Calc 2 quiz: $2\int_{-3}^{3}e^x^4dx$

## 2 Answers By Expert Tutors

David D. answered • 07/12/18

Former Community College Professor misses Teaching and Tutoring

Bobosharif S. answered • 02/21/18

PhD in Math, MS's in Calulus

_{-3}

^{3}e

^{x^4}dx=2∫

_{0}

^{3}e

^{x^4}dx=|x2=t, dx=dt/(2√t), 0≤t≤9|=∫

_{0}

^{9}(e

^{t^2}/√t)dt.

^{2}=∫

_{0}

^{9}∫

_{0}

^{9}e

^{(x^2+y^2)}/√(xy)dxdy.

^{2}=√2∫

_{0}

^{6/√π}∫

_{0}

^{2π}e

^{ρ^2}/√(sin(2φ)dρdφ

_{0}

^{6/√π}e

^{ρ^2}∫

_{0}

^{2π}(1/√(sin(2φ))dφ.

David D.

07/12/18

Bobosharif S.

07/12/18

David D.

07/12/18

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Bobosharif S.

^{x^4}?01/28/18