Inactive Tutor answered • 03/23/24
Tutor
New to Wyzant
This is a u-sub.
Let u = tan x
du = sec2(x)dx
Integral becomes:
∫ (1+u3)du
Take it from there remembering to replace u with tanx and add a constant of integration.
Inactive Tutor
Yes, here is a verification. Use the technique here to check your work on other indefinite integrals, i.e. f(x) = integrand, F(x) = your answer, F'(x) should match the integrand. desmos.com/calculator/lni20loblx
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03/25/24
Josh D.
so will the answer be tanx +tan^4x/4 + C03/24/24