Evaluate the intergral ln(sqrtx) dx
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////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// -Suppose that the particular antiderivatives intergral f(x) dx = F(x) and intergral f(x 2 ) dx = G(x) are known. Find the antiderivative intergral f(2 + ln x) 3x + f(x) √ x dx in terms of F and G?
Find the intergral St-st-tox) dx a) 2ln (x1 - 25 6 6x t6 6xxt C.) 2 ln/x/+25 3 3 2 +30 6x to | b.) se FC
4. Evaluate the definite integrals: A) |_ In xdx 1 xV1+ ln² x I dx cos x sin x a f / Inx di -d
Evaluate the following integrals. Integral x*ln(x^2+3x+2)dx 2. (8 points) Evaluate the following integrals. Answers without supporting work will re- ceive no credit. (a) (5 points) | < ln(x2 + 3x + 2) dx
Find (and prove) a general formula for the intergral a^(bx) cos(cx)dx , for any constants a,b,c
Evaluate. Line x = e Curve y = sqrt(ln(x)) xy dx dy y=0 y g = 4² Hey4
Integration By Parts: Evaluate the integral. Hint: Use ſuav=UV- (v.au 1 x Inx dx 1+ln(2) In(2) O2 21n(2)
Determine whether the improper integral x * ln(x) *dx convert or divergent. If it is con please evaluate
5. (4pts each)Evaluate the following integrals. s sins (1) cos (1) dx a. dx b. sz * (ln(x))?
why Sdx dx = ln 12e1