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∫(3x^2 + 2x + 1) / (x^3 + 4x^2 + 5x) dx
online Trigonometric Substitution Calculator.
1: x = a * sinθ: This substitution is useful when encountering square roots of the form
√(a^2 - x^2). By substituting
x = a * sinθ, we can rewrite the integral in terms of trigonometric functions, which makes it easier to solve.
2: x = a * tanθ: Use this substitution for integrals that involve terms like
√(x^2 + a^2). By substituting
x = a * tanθ, we can simplify the integral and express it in terms of trigonometric functions.
3: x = a * secθ: When integrating expressions with terms like
√(x^2 - a^2), we can employ this substitution. By substituting
x = a * secθ, we can rewrite the integral using trigonometric functions, making it more manageable.
∫(x^2) / √(9 - x^2) dx.
x = 3 * sinθ, we can transform the integral into a trigonometric expression. This simplification helps us solve the integral with ease.
∫(x * cos(x)) dx, integration by parts provides a systematic way to approach it. We can also use an
integral by parts calculatorfor calculating it online.
online integral calculator.
x = a * sinθ, x = a * tanθ, and x = a * secθ. These substitutions are used in different scenarios to simplify integrals and express them in terms of trigonometric functions.