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Rewrite the integrand $\left(\cos\left(x\right)+\sin\left(x\right)\right)^2$ in expanded form
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$\int\left(1+\sin\left(2x\right)\right)dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int((cos(x)+sin(x))^2)dx. Rewrite the integrand \left(\cos\left(x\right)+\sin\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. The integral \int\sin\left(2x\right)dx results in: -\frac{1}{2}\cos\left(2x\right).