Evaluate using trigonometric substitution ∫x^2/(16-4x^2)^3/2 dx

Q: Use the trig substitution x=5 sin t,  to re-write the square root sign of 25-x^2, without any square…

A: Simplification

Q: tan(cos^-1 (sqrt 3 over 2)

A: Consider the given expression: tancos-132 Here, the objective is to evaluate the given expression.

Q: Find sin(cos^-1 1/5)

A: Here we have to find, sincos-115 ................ (1) Let,  cos-115=t⇒cost=15

Q: sec4 dx

A: The integral is . Let . Differentiating both sides.

Q: Consider the following equation:16sec^2(x)+11csc(x)+7cot^2(x)+20tan(x)a. Solve the equation using…

A: The objective of the question is to evaluate the given trigonometric expression for two different…

Q: x=sec(theta), evaluate 2x/square root x^2-1

A: We have We have find the vale of

Q: Evaluate sin2xlogtanx dx 0.

A: We will evaluate the definite intrgral as following.

Q: Evaluate [csc^2 (-0.09-0.1i)]. Express your answer in rectangular form in 4 decimal places.

A:

Q: 2. Is trigonometric substitution needed to evaluate /9 - x² dx?

A:

Q: Evaluatef (cot2x + 2tan²x - 5) dx a. cotx + 2tanx + 4x + C b. -tanx-2cotx - 4x + C c. -cotx 2tanx -…

A: I have stated the used formulas in the solution

Q: Evaluate tanh^2 (4-4i) sech (2+2i). Express your answer in rectangular form in 4 decimal places.

A:

Q: Integrate  1/sinx

A:

Q: Use the reduction formulas to reduce sin^4 θ to only linear powers of cosine (cos(θ) = ”linear”,…

A:

Q: Find if sin x +1= cos y

A: Given,           sinx+1=cosy

Q: Integrate x^3/sqrt(25-x^2) dx. use the substitution x=5sin(theta). Your final answer should not use…

A:

Q: Question 6 Rewrite sin (5x) without any powers. Show all calculat Edit Format Table 12pt v Paragraph…

A: