Find the indefinite integral using the substitution x = 6 tan(θ). (Use C for the constant...

Find the indefinite integral using the substitution x = 6 tan(θ). (Use C for the constant of integration.) x sqrt 36 + x2 dx

Expert Solution

milcah answered 2 years ago

A. Find the indefinite integral. B. Find the indefinite integral. C. Find the derivative. f(x) =...

A. Find the indefinite integral. B. Find the indefinite integral. C. Find the derivative. f(x) = x6 · log3(x) Give your answer using the form below. xA(B + C logD(x)) A = B = C = D = D. Find the indefinite integral. E. Find the area under the curve below from x = 1 to x = 2. Give your answer correct to 3 decimal places. F. Find the area under the curve below from x = 0 to...

Evaluate the integral. (Use C for the constant of integration.) (x^2-1)/(sqrt(25+x^2)*dx Evaluate the integral. (Use C...

Evaluate the integral. (Use C for the constant of integration.) (x^2-1)/(sqrt(25+x^2)*dx Evaluate the integral. (Use C for the constant of integration.) dx/sqrt(9x^2-16)^3 Evaluate the integral. (Use C for the constant of integration.) 3/(x(x+2)(3x-1))*dx

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The integral ∫sec2x/(sec x + tan x)9/2 dx equals (for some arbitrary constant k)

a) Evaluate the limit lim x→0 tan(2x) / x b) Differentiate y = x^tan(x) c) Find...

a) Evaluate the limit lim x→0 tan(2x) / x b) Differentiate y = x^tan(x) c) Find the equation of the tangent line to 4x^2 + 2xy−y^2 = 4 at the point (1, 2). d) Differentiate f(x) = arctan(x^2 + 1) e) Differentiate f(x) = ln(cosh x) Thank you!

Find the values of sin θ, cos θ, and tan θ for the given right triangle. Give the exact values.

Evaluate the following integral using trigonometric substitution. a) find the partial decomposition of the integrand b)...

Evaluate the following integral using trigonometric substitution. a) find the partial decomposition of the integrand b) evaluate the indefinite integral 1. 6/x(x^2+2)^2 2. 5/x(x^2+1)^2?

question 1 Distinguish between a definite integral and an indefinite integral. (use examples) question 2 What...

question 1 Distinguish between a definite integral and an indefinite integral. (use examples) question 2 What is the conceptual meaning of the derivative? State an example. question 3 Find the area of the region bounded by y = 9 - x^2 and y = 0. Sketch the graph and shade the region. Graph on attached grid paper. Make sure the graphs are accurate and not just rough sketches.

From indefinite integration of ??/?? = ?, ? is constant, find the velocity at time ?. Explain...

From indefinite integration of ??/?? = ?, ? is constant, find the velocity at time ?. Explain the meaning of the integration constant. From the indefinite integration of the answer above, find the position of the object at time ?. Explain the meaning of the second integration constant.

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