## 20 POINTS ##
Solve the give question in pic
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Answer:
√2 √tanx ( 5 + tan²x)/5 + C
Step-by-step explanation:
sin2x = 2 tanx cos²x
∫dx/cos³x√sin2x = ∫dx/cos⁴x√tanx
√tanx = t²
Differentiating , and substituting we get
∫sec²x( 1 + tan²x) / √2tanx = ∫(2t*(1+t⁴)/t√2
Integrating and substituting for t = √ tanx
we get
√2 (5√tanx + (√tanx)⁵) / 5
jay1001:
This is the right solution, i have skipped a few steps as it was already too long
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Step-by-step explanation:
answer is in the attachment
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