91Ó°ÊÓ

Integrate (do not use the table of integrals): $$\int x^{3} \ln x d x$$

Exercises \(1-18:\) Integrate: $$\int x \ln x d x$$

Integral. $$\int e^{x} \cot e^{x} d x$$

Integrate: $$\int \sec ^{5} x \tan x d x\left(\text { Hint: Write } \sec ^{5} x \tan x \operatorname{as} \sec ^{4} x \sec x \tan x .\right)$$

Integrate: $$\int e^{4 x} e^{x} d x$$

Integrate: $$\int \csc ^{4} x d x$$

Integrate: $$\int_{0}^{\pi / 6} \tan ^{3} x \sec ^{3} x d x$$

Integrate (do not use the table of integrals): $$\int e^{4 x} d x$$

Integral. $$\int_{0}^{\pi} \int_{\pi / 2}^{y} \cos x d x d y$$