● • S MTH 32 (1) Here are some trigonometric substitutions: Expression Substitution √a²-x² √a² + x² √x² - a² 2) Find the integrals: x² √36x² dx 16. TRIGONOMETRIC SUBSTITUTIONS Interval Identity 110

Q: dx v16+x? 2) Use a trigonometric substitution to help integrate: Clearly show what your values of x…

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Q: ( sin³x sin32x dx

A: Our Aim is to integrate the integral given below:-I=∫sin3 (x) sin3 (2x) dx

Q: | 6. Use a trigonometric substitution to evaluate x³√x²-4 dx.

A: We will find integral using  trigonometric substitution.

Q: What is the value of x in the figure below? 85° (3x - 5)0

A: x = 30   explanation is given in below step

Q: kirve 2 3 cos²x sinx dx

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Q: Let f(x, y) = √√/175 – 3x² – 4y² Evaluate f(1,4)

A: Given :To Find :

Q: sec' a tan xdx

A: We rewrite the integral function and then using integration formula, we calculate the given…

Q: 3- - 플 플 sin²cyl y จน

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Q: 9-4x2 dx (Use Trigonometric Substitution) x2

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Q: d da earctan(√2)

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Q: ACBinf fCx) şinf R Cx). X6 A XE13

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