3. Define the definite integrals In = x"exp(-Axº)dx. a.I Calculate I, and, differentiating this result with...
4. Evaluate the definite integrals: A) |_ In xdx 1 xV1+ ln² x I dx cos x sin x a f / Inx di -d
please solve Q1 and Q2 3 ths Homework - Rate My Maths Homework - X Differentiating parametrics k/differentiating parametric functions 10 Q2 - Tangents and normals A curve is defined parametrically as 12 Q2 + x= 1, y = 13 Find dy dx at the point 1 = 3. dy dx 10 Computer and Mathematical Sciences Find the gradient of the tangent to the curve 1 Find the equation of the tangent to the graph at t = 3. at...
Select the improper integrals in the following list of definite integrals. 6x ln(x)dx 9dz وه ()tanهه πω 4 tan - da e I 3ln(x)da tdt و 7.5 of de 7dt 1 - t2 du 2 + 9 + 6
(1 point) Using Properties of Definite Integrals. Given S f(x) fo dx = 0 and f(x) dx = 6 evaluate (a) f(x) dx = (b) f(x) dx - Liro f(x) dx = (c) L.ro 3f(x) dx = (d) $350 38(x) dx Note: You can earn partial credit on this problem. Preview Mv Answers Submit Answers 19
Find the following integrals: SPENT Ox (26 - secx tanx) dx 4 evaluate the following definite integrals: b) 3 sinx Cos x V 1 + 3 sinx dx let u = 1 + 3 si nax
1. (34, 12) Evaluate the following integrals. For definite integrals, give answers in exact form. For indefinite integrals give your final answer in the variable x. Show work. THE WORK YOU SHOW MUST BE WRITTEN CORRECTLY. A. $()(**)dk 1. Continued. - B. -dx C. [vcosô sinº Odo
4. [25 points) Solve each of the following definite and indefinite integrals. Show all of your work for full credit. For definite integrals, leave numerical answers in exact form (without rounding). Please double-check to make sure you copy the problems correctly, as minor typos could change the difficulty of these substantially. a. 1(413 – 1/3 + 1)dt b. Syndx c. S x cos(3x) dx d. S 6x sin(3x) dx e. 2y In y dy
Suppose that f(x)dx = 9. Find the value of the following definite integrals. Complete parts (a) through (d). = (Type an exact answer, using radicals as needed.) (b) ] v3f(z)dz = dz=1 (Type (Type an exact answer, using radicals as needed.) (c) f(t)dt = (Type an exact answer, using radicals as needed.) |[-f(x)]dx = (Type an exact answer, using radicals as needed.)
Evaluate the following integrals Evaluate the following integrals: 3 1 32/2 7 (i) dx 6°2712 dx x²x² + 4 (4x² +9312
Please show solution steps. Thanks! 11. Give the values of the definite integrals: 1., (x) dx = 12, 1,8(x) dx = -6, 5, 8(x) dx = 24 find: |.[2f(x) + 4g(x)] dx = b) {**$(x) dx = — c) | ,8(x) dx = 12. (8 pts.) The graph of f'(x) is given. Identify the following properties for f(x). YA y= f'(x) far a) What are the x-values of the critical numbers on the graph: b) Make a sign chart for...