Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §7.2 Trigonometric Integrals, #60 · Calculus · Techniques of integration

Explain from areas why

Explain from areas why $\int_{0}^{π} sin^{2} x d x = \int_{0}^{π} cos^{2} x d x$ . These integrals add to $\int_{0}^{π} 1 d x$ , so they both equal ______.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §7.2 Trigonometric Integrals, #60

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