
Evaluate the integral. 4) S -2x cos 7x dx Integrate the function. dx (x2+36) 3/2 5) S; 5) Express the integrand as a sum of partial fractions and evaluate the integral. 7x - 10 6) S -dx x² . 44 - 12 6)
Integrate the following expression: - 2x + 7)dx 1. Q.2 Find the function which passes through (2,6) and whose derivative is given as 2. y'= 3x
1. Integrate. (a) Vr+3ds (b) x sin (x) cos (2x)dx
Integrate fc2x (2x + 4)ex2+4x–3 dx
Integrate the function. - dx, x<2 De 10, x2 om (2nd OB. a 1703 12 +0 oc. (4-2) ?. Oo. (1-2) 112* 12y3 3 / 2 + ) 1/2
Use Symbolics in Matlab to integrate the following ordinary differential equation. dy/dx + y cos(2x) = (1/2) sin 3x
by trig substitution please
2. Integrate the function. 5 dx 6 + x2 2 D) 2 x +6
2. Integrate the function. 5 dx 6 + x2 2 D) 2 x +6
Evaluate (T/4 sinº (2x) cos (2x) dx. 17/12 Round your answer to 2 decimal places if necessary. For what value of kis the area under the graph of y = 3x2 + 4kx between x = 0 and x = 1, equal to 3? Round your answer to 2 decimal places if necessary. Evaluate 1 x (x + 2x + 1) dx. Jo Evaluate cos (T) da. Cvaluate 5 (23 + 4) dx.
4. Consider the set S = {(x, y) | x ∈ [0, 1], x2 ≤ y ≤ x}. Prove that S is a Jordan region and integrate the function 2x 2 + 3y 2 on S.
Integrate the given expression. ſ(2x + 4)2 dx 4x3 + 16x2 + 4x + c 8x+ 16 + C x3 +8x2 + 16x+C x3 + + 4x + C