QUESTION 8 Evaluate the integral. dx Vx2 - 10x + 21 x-10) sin + C 2...
Evaluate the integral. dx Vx2 - 4x - 12 of tani *(x-2) + c sin +C X sin +C 4 sin +C Could you help me in this QS, with steps, and make sure that the final solution from the options :)
Evaluate the Integral Evaluate the integral TT " 9 - sin 10x dx 10
6. Evaluate the integralſ cos3x sin x dx 7. Evaluate the integral S Vx2 + 9 dx
Evaluate the following integral. 1/2 7 sin ?x -dx 1 + cos x 0 1/2 7 sin 2x dx = V1 + cos x 0 Score: 0 of 1 pt 1 of 10 (0 complete) HW Score: 0%, 0 of 10 pts 8.7.1 A Question Help The integral in this exercise converges. Evaluate the integral without using a table. dx x +49 0 dx X2 +49 (Type an exact answer, using a as needed.) 0
[ Vx2 + 2x – 3, Evaluate the integral: (x + 1)3 "A Hint: To start, complete the square for the quantity under the square root. 5+ 4x Evaluate the integral: | J x3 + 6x2 + 5x - dx
Q3-Evaluate the integral: dx Q4-Evaluate the integral: tan x dx (x + 1)
: Use Green's Theorem to evaluate the following integral f ev? dx + (10x + 8) dy Where C is the triangle with vertices (0,0), (10,0), and (5,8) (in the positive direction).
EXAMPLE 2 Find sin$(7x) cos”7x) dx. SOLUTION We could convert cos?(7x) to 1 - sin?(7x), but we would be left with an expression in terms of sin(7x) with no extra cos(7x) factor. Instead, we separate a single sine factor and rewrite the remaining sin" (7x) factor in terms of cos(7x): sin'(7x) cos”(7x) = (sinº(7x))2 cos(7x) sin(7x) = (1 - Cos?(7x))2 cos?(7x) sin(7x). in (7x) cos?(7x) and ich is which? Substituting u = cos(7x), we have du = -sin (3x) X...
Evaluate the integral 1 ET sin(2²) dx dy by reversing the order of integration. With order reversed, 6 sin(x²) dy dx, where a = ,b= C= and d Evaluating the integral, So S, sin(x2) dx dy =
Please answer both questions Problem #7: Evaluate the following integral. 10 1 x In x dx Problem #7: Save Problem #8: Let f(x, y) = (x + 7y)2 + (y – 10x)2. Find f(0, -6) Problem #8: Save