Math Problem Statement
Solution
It looks like you've uploaded an image containing three integrals. Let's go through each of them one by one:
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This is a basic trigonometric integral.
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This integral involves a product of sine and tangent functions, which might benefit from a substitution or trigonometric identity.
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This one is a bit more complex. To solve it, we'd need to simplify the expression inside the square root and possibly use trigonometric identities.
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Math Problem Analysis
Mathematical Concepts
Trigonometric Integrals
Substitution
Trigonometric Identities
Square Roots
Formulas
∫ cos(ax) dx = (1/a) sin(ax)
∫ sin(ax)tan(ax) dx
Trigonometric identity: cos^2(x) + sin^2(x) = 1
Theorems
Integration by Substitution
Trigonometric Identity Simplification
Suitable Grade Level
Grades 11-12
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