1.

Evaluate the integral: ∫tan3x sec2 x dx

Answer»

Suppose I = ∫tan3x sec2 x dx

Suppose tan x = t, now

sec2 x dx = dt

On substituting the value of x 

I = ∫t3 dt

On integrating 

I = t4/4 + c

On substituting the value of t

I = tan4x/4 + c



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