Practice problem
Integrate ∫(sint)1+cost dt\int (\sin t) \sqrt{1 + \cos t} \, dt∫(sint)1+costdt.
(1+cost)3/2(1+\cos t)^{3/2}(1+cost)3/2
−(1+cost)3/2-(1+\cos t)^{3/2}−(1+cost)3/2
(t+sint)3/2(t + \sin t)^{3/2}(t+sint)3/2
23(t+sint)3/2\frac23 (t + \sin t)^{3/2}32(t+sint)3/2
−23(1+cost)3/2-\frac23(1 + \cos t)^{3/2}−32(1+cost)3/2
23(1+cost)3/2\frac23(1 + \cos t)^{3/2}32(1+cost)3/2
(1+sint)3/2(1 + \sin t)^{3/2}(1+sint)3/2
Type a concept, like “slope” or “photosynthesis”.