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mathematics
calculus early transcendentals 9th
Calculus Early Transcendentals 9th Edition James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin - Solutions
Solve the differential equation.y' + xey = 0
Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.The equation exy' = y is linear.
Solve the differential equation.y' = x – y
Determine whether the given function is a solution of the differential equation.y = 2/3 ex + e–2x; y' + 2y = 2ex
Use the direction field labeled I (above) to sketch the graphs of the solutions that satisfy the given initial conditions.(a) y(0) = 1(b) y(0) = 2.5(c) y(0) = 3.5
Solve the differential equation.(ey − 1)y' = 2 + cos x
Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.The equation y' + xy = ey is linear.
Solve the differential equation.2yey2y' = 2x + 3√x
Each integral represents the volume of a solid of revolution. Describe the solid. 7/2 T sin'x dx
A solid is obtained by rotating the shaded region about the specified line.(a) Set up an integral using any method to find the volume of the solid.(b) Evaluate the integral to find the volume of the solid.About the x-axis y= 2-x? y=x²
Evaluate the integral. cos X dx 1- sin x
Evaluate the integral. In x ax .2
Evaluate the integral. dx Jo 2x + 3x + 1
Determine whether the integral is convergent or divergent. Evaluate integrals that are convergent. x² + x x'
Evaluate the integral. 2 dt V4 + 12
Evaluate the integral.∫ x cosh ax dx
Evaluate the integral. 3x? + 6x + 2 2 x' + 3x + 2
Use the Table of Integrals on the Reference Pages to evaluate the integral. dt Vezt – 1
Evaluate the integral.∫ tan2x cos3x dx
Evaluate the integral. cos(1/x) со xp-
Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.If f(x) ≤ g(x) and ∫∞0 g(x) dx diverges, then ∫∞0 f(x) dx also diverges.
Evaluate the integral. x - 1 x? + 2x
Determine whether the integral is convergent or divergent. Evaluate integrals that are convergent.∫∞–∞ xe–x2 dx
Evaluate the integral. x²-9 dx .3
Evaluate the integral.∫ (ln x)2 dx
Evaluate the integral. x? + x + 1 (x + 1)(x + 2)
Use the Table of Integrals on the Reference Pages to evaluate the integral. fv6 + 4y - 4y dy
Evaluate the integral.∫ sin2x sin 2x dx
Evaluate the integral. 1 dx x'Vx? – 1
Evaluate the integral. sec°0 tan20
Determine whether the integral is convergent or divergent. Evaluate integrals that are convergent. dx x+ 1
Evaluate the integral. dx (x? + 1)
Evaluate the integral. - dz 10
Evaluate the integral. x(3 — 5х) dx J2 (3x – 1)(x – 1)?
Use the Table of Integrals on the Reference Pages to evaluate the integral. dx 2x – 3x?
Evaluate the integral.∫ sin x cos(1/2 x) dx
Evaluate the integral. 2х - 3 dx x' + 3x
Evaluate the integral.∫ x cosh x dx
Determine whether the integral is convergent or divergent. Evaluate integrals that are convergent.∫∞–∞ cos 2t dt
Evaluate the integral. ("xVa? – x? dx - x²
Evaluate the integral. cos'x - dx csc x
Evaluate the integral.∫ e3x cos x dx
Evaluate the integral. dt 1)?
Use the Table of Integrals on the Reference Pages to evaluate the integral.∫ sin2x cos x ln(sin x) dx
Evaluate the integral.∫ tan x sec3x dx
Evaluate the integral. x? + 8x – 3 -dx x³ + 3x?
Determine whether the integral is convergent or divergent. Evaluate integrals that are convergent. 1/x o e dx .2
Evaluate the integral. 3/4 V1-4x² dx 1/4
Evaluate the integral.∫ ln(1 + x2) dx
Evaluate the integral.∫ ex sin πx dx
Evaluate the integral. 3x? + 12x – 20 dx x* - 8x? + 16
Use the Table of Integrals on the Reference Pages to evaluate the integral. sin 20 - de V5 - sin 0
Evaluate the integral.∫ tan2θ sec4θ dθ
Evaluate the integral. dx x2 -4x
Determine whether the integral is convergent or divergent. Evaluate integrals that are convergent.∫∞0 sin2α dα
Evaluate the integral. Vx? – 7
Evaluate the integral.∫ x sec x tan x dx
Evaluate the integral.∫ e2θ sin 3θ dθ
Evaluate the integral. 10 (x – 1)(x? + 9)
Use the Table of Integrals on the Reference Pages to evaluate the integral. sin 20 /cos e + 4 Op -
Evaluate the integral.∫ tan2x dx
Evaluate the integral. xx x1
Determine whether the integral is convergent or divergent. Evaluate integrals that are convergent.∫∞0 sinθ ecosθ dθ
Evaluate the integral. x? VI - x? Jo
Evaluate the integral. 1 + x?
Evaluate the integral.∫ e–θ cos 2θ dθ
Evaluate the integral. 3x? - x + 8 dx x' + 4x
Use the Table of Integrals on the Reference Pages to evaluate the integral. x'4x2 - x+ dx
Evaluate the integral.∫ (tan2x + tan4x) dx
Evaluate the integral. x + 1 J 9x? + 6x + 5
Determine whether the integral is convergent or divergent. Evaluate integrals that are convergent. 1 .2 J1 + x
Evaluate the integral.∫π0 t cos2 t dt
Evaluate the integral. V1 + x?
Evaluate the integral.∫ z3ez dz
Evaluate the integral. х3 — 4х + 1 ² J-1 x — Зх + 2
Use the Table of Integrals on the Reference Pages to evaluate the integral.∫ x3e2x dx
Evaluate the integral.∫ tan4x sec6x dx
Evaluate the integral.∫ tan5θ sec3θ dθ
Determine whether the integral is convergent or divergent. Evaluate integrals that are convergent. 8. dv v2 + 2v – 3 2.
Evaluate the integral. (4 evi dt
Evaluate the integral. r0.3 (9 – 25-)97 de
Evaluate the integral.∫ (arcsin x)2 dx
Evaluate the integral. x' + 4x? + x - 1 dx x³ + x?
Use the Table of Integrals on the Reference Pages to evaluate the integral.∫ x3 arcsin(x2) dx
Evaluate the integral.∫π/40 sec6θ tan6θ dθ
Evaluate the integral. Vx? - 2х + 2 dx
Determine whether the integral is convergent or divergent. Evaluate integrals that are convergent.∫0–∞ ze2z dz
Evaluate the integral.∫ ex+ex dx
Evaluate the integral. r0.6 x? Jo У9 - 25х2
Evaluate the integral.∫ (1 + x2) e3x dx
Evaluate the integral. 4x x³ + x? + x + 1
Use the Table of Integrals on the Reference Pages to evaluate the integral.∫ cos5y dy
Evaluate the integral.∫ tan3x sec x dx
Evaluate the integral.∫ cos √t dt
Evaluate the integral. e dx 1+ e2a
Determine whether the integral is convergent or divergent. Evaluate integrals that are convergent.∫∞2 ye–3y dy
Evaluate the integral. IVx? + 1 dx Jo
Evaluate the integral.∫1/20 θ sin 3πθ dθ
Evaluate the integral. x? + x + 1 dx (x² + 1)? .2
Use the Table of Integrals on the Reference Pages to evaluate the integral. V(In x)? – 9 dx x In x
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