Integration of x²×sec²(x³) dx
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∫ x² Sec²(x³)dx = (1/3) Tan(x³) + c
Step-by-step explanation:
∫ x² Sec²(x³)dx
Let say x³ = y
=> 3x²dx = dy
=> x²dx =dy/3
= ∫ (1/3) Sec²(y)dy
= (1/3) ∫ Sec²(y)dy
= (1/3) Tany + c
= (1/3) Tan(x³) + c
∫ x² Sec²(x³)dx = (1/3) Tan(x³) + c
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