Solve ∫ tan^(4) x sec^(6) xdx

Evaluate

S tan^{4} (x) sec^{6} (x) \times d x

Calculate

More Steps

S \times \frac{sin ^{4} ( x )}{cos ^{4} ( x )} \times sec^{6} (x) \times d x

Calculate

More Steps

S \times \frac{sin ^{4} ( x )}{cos ^{4} ( x )} \times \frac{1}{cos ^{6} ( x )} \times d x

Calculate

\frac{S sin ^{4} ( x ) \times d x}{cos ^{10} ( x )}

Rewrite the expression

\frac{x d sin ^{4} ( x ) \times S}{cos ^{10} ( x )}

Rewrite the expression

sin^{4} (x) cos^{- 10} (x) \times x d S

Rewrite the expression

S d x cos^{- 10} (x) sin^{4} (x)

Rearrange the terms

cos^{- 10} (x) \times S d x sin^{4} (x)

Rewrite the expression

cos^{- 10} (x) sin^{4} (x) \times S d x

Rewrite the expression

x d S sin^{4} (x) cos^{- 10} (x)

Simplify

x d S sin^{4} (x) sec^{10} (x)

Rewrite the expression

S d x sec^{10} (x) sin^{4} (x)

Solution

sec^{10} (x) \times S d x sin^{4} (x)

Simplify the expression