integral for prac

find \int_{0}^{\pi/4}{\frac{x dx}{cosx(cosx +sinx)}}

4 Answers

4
UTTARA ·

I = \int_{0}^{\Pi /4}{x sec^{2}x/(1+tanx)} dx

Put 1 + tanx = p

Use Integration By parts

I = x ln p - ∫ lnp

Hope u can solve further

1
Ram ·

how can u do like tht uttara bcoz two variables p and x r there

1
rajatjain_ix ·

is it \prod{}/8(ln2)

1
mona ·

yes

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