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$\int\left(\sin\left(x\right)+\cos\left(x\right)\right)^2dx$
Learn how to solve problems step by step online. Find the integral of (sin(x)+cos(x))^2. Find the integral. Rewrite the integrand \left(\sin\left(x\right)+\cos\left(x\right)\right)^2 in expanded form. Expand the integral \int\left(1+\sin\left(2x\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int1dx results in: x.