∫1/(1+cos t)dt

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∫1/(1+cost)dt∫1/(1+cost)dt∫1/(1+cost)dt∫1/(1+cost)dt=∫(1-cost)/[(1+cost)(1-cost)]dt=∫(1-cost)/sin

∫1/(1+cos t)dt
∫1/(1+cos t)dt

∫1/(1+cos t)dt
∫ 1/(1+cost) dt
= ∫ (1-cost)/[(1+cost)(1-cost)] dt
= ∫ (1-cost)/sin²t dt
= ∫ csc²t dt - ∫ csct*cott dt
= -cot(t) + csc(t) + C