(i) Use the chain rule to show that -3x = (In 3)32 dx Hint: use the fact that 3 = eln 3ª (ii) Use integration by substitution to find the integral [3 3 cosh 3 dr Use integration by substitution and then a trigonometric identity to find the integral [22 2x sin²(x²) dr

Q: 16. Use substitution to find and evaluate the definite integral. Give your answer in exact form. T/3…

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Q: dx Use trigonometric substitution to solve the integral

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Q: I sin³x 5 sin x 4 cos x dx

A: To find out the integration.

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: Q2: find the integral of trigonometric function cos sint dx

A: To evaluate the integral: I=∫0πcos5x sin4x dx⇒I=∫0πcos4x sin4x  cos x dx⇒I=∫0πcos2x2 sin4x  cos x…

Q: Use trigonometric substitutions to evaluate the definite integral 1 [5x²³√1-x² dx.

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Q: f 4 sin 8x cos 3x dx

A: To find out the integration of the given integrand.

Q: Evaluate sin (3x) dx using integration by parts / Tabular Method.

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Q: How to solve this integral via trigonometric substitution?

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Q: 12 cos6x. sin³ xdxCalculate "/2 3 the integral

A: It is integral problem.

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A: Explanation: Given that,  Let us assume Differentiate

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Q: sin 20 23. do Vcos*0 + 4

A: Explanation of the solution is given below...

Q: Using the substitution u = sec(x), rewrite the integral tan7 (x) sec(x) dx as an integral involving…

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