Integrate. Show any substitution that you use.
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
2. (5 pts) Use integration by parts to show that 1- x2 Write x2-x2-1+1 in the second integral and deduce the formula Now, use a trigonometric substitution to conclude that Evaluate 1- x2 dx by using the FTC and then verify your answer by interpreting the integral as the area of a familar shape. 2. (5 pts) Use integration by parts to show that 1- x2 Write x2-x2-1+1 in the second integral and deduce the formula Now, use a trigonometric...
integrate with your best choice (substitution rule, by parts, or partial fractions) d) ( z*In(a)dx e) / ** +20 – 12 I x(x2 - 1 dx
Integrate each of the following analytically) - Using U substitution All Steps and Proper Notation MUST be SHOWN - All questions are 2 points cach 1 S 2x3 e3x* dx 2 1 272 8x dx Integrate each of the following (analytically) - Using U substitution All Steps and Proper Notation MUST be SHOWN S (1 - x)/x dx 4) SVx3 + 2 (x2) dx Integrate each of the following (analytically) - Using U substitution All Steps and Proper Notation MUST...
Integrate dx/xsqrt(4-x^2) using trigonometric substitution
2. Integrate by parts S x2 e e-* dx . 3. Use the method of partial fractions to evaluate S ( 5x-5 3x2-8x-3
Integrate ve 2e22 (e22 da using U-substitution: 50 U = du dx Substitution gives du Integration yields The final answer is
Show the similarity: please show how to solve this... Show the similarity: x 1 dx (x2 + a2)m 2(-m + 1)(x2 + a2)m-1+C By using the substitution u = x2 + a2. Make sure that the integral is correct by derivation your answer.
label the u du v dv Integrate by parts x2 e-* dx.
Use a substitution to find s (la mo)" dx You must show your work to receive full credit.