Solve ∫(1 tan (θ))^(7) sec^(2) (θ)dθ

Evaluate

S (1 \times tan (θ))^{7} sec^{2} (θ) \times d t h η

Any expression multiplied by 1 remains the same

S tan^{7} (θ) sec^{2} (θ) \times d t h η

Calculate

More Steps

S \times \frac{sin ^{7} ( θ )}{cos ^{7} ( θ )} \times sec^{2} (θ) \times d t h η

Calculate

More Steps

S \times \frac{sin ^{7} ( θ )}{cos ^{7} ( θ )} \times \frac{1}{cos ^{2} ( θ )} \times d t h η

Calculate

\frac{S sin ^{7} ( θ ) \times d t h η}{cos ^{9} ( θ )}

Rewrite the expression

\frac{η h t d sin ^{7} ( θ ) \times S}{cos ^{9} ( θ )}

Rewrite the expression

sin^{7} (θ) cos^{- 9} (θ) \times η h t d S

Rewrite the expression

S d t h η cos^{- 9} (θ) sin^{7} (θ)

Rearrange the terms

cos^{- 9} (θ) \times S d t h η sin^{7} (θ)

Rewrite the expression

cos^{- 9} (θ) sin^{7} (θ) \times S d t h η

Rewrite the expression

η h t d S sin^{7} (θ) cos^{- 9} (θ)

Simplify

η h t d S sin^{7} (θ) sec^{9} (θ)

Rewrite the expression

S d t h η sec^{9} (θ) sin^{7} (θ)

Solution

sec^{9} (θ) \times S d t h η sin^{7} (θ)

Simplify the expression