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- Insect CannibalismIn certain species of flour beetles, the larvae cannibalize the unhatched eggs. In calculating the population cannibalism rate per egg, researchers need to evaluate the integral 0Ac(t)dt, where, A is the length of the larval stage and c(t) is the cannibalism rate per egg per larva of age t. The minimum value of A for the flour beetle Tribolium castaneum is 17.6 days, which is the value we will use. The function c(t) starts at day 0 with a value 0, increases linearly to the value 0.024 at day 12, and then stays constant. Source: Journal of Animal Ecology. Find the values of the integral using a. formula from geometry; b. the Fundamental Theorem of Calculus.arrow_forwardsinx Cosx - e sinx +x +e The integral dr may be written as mensinx prt gerx LC where m, n, p, q, r, and C are constants not equal to zero. Evaluate m +n+p+g+r. sinx O 3 O-5 -1 O 5arrow_forwardplease answer now i already need it thankyou. Basic Intergration Rules Evaluate the following integrals. Check by differentiation. ∫ ( x4 − 4 x ) d x Show step by step and what rule did you used.arrow_forward
- sinx +e sinx +x COSX -e The integral dr may be written as me nsinx + px + qe"+ C, where m, n, p, q, r, and Care constants not sinx equal to zero. Evaluate m +n+p+q+r.arrow_forwardPlease answer now i already need it thankyou. Basic Intergration Rules Evaluate the following integrals. Check by differentiation. ∫ ( 3 − 2 x−2 ) d x Show step by step and what rule did you used.arrow_forwardsinx sinx +x +e Cosx e The integral -dx may be written as me nsinx + px + qe* +C, where m, n, p, q, r, and C are constants not e sinx equal to zero. Evaluate m +n+p+q+r. A -5 B D -1arrow_forward
- sinx sinx +x +e cosx - e The integral dr may be written as mensinx +px+qe™ +C, where m, n, p, q, r, and C are constants not sinx equal to zero. Evaluate m +n+p+q+r. A -5 -1 (c) зarrow_forwardWrite the integral in terms of u and du. Then evaluate. 12 sec (x) tan (x) dx, u = tan(x) (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C as much as possible.) 12 sec (x) tan (x) dx = Question Source: Rogawski 4e Calculus Early Transcendentals| Publisher: W.H. Freer 8:02 PMarrow_forwardx2 Use a table of integrals to find the length of the curve y = on the interval [0,20]. Click here to view page 1 of the integral table. Click here to view page 2 of the integ Click here to view page 4 of the integral table. Click here to view page 5 of the integ The length of the curve is (Type an exact answer.) units.arrow_forward
- 2e dx 2x +3 Evaluate the integralarrow_forwardsinx +x sinx +e COsx - e The integral dx may be written as me nsinx +px+qe"* + C. where m, n, p, q, r, and C are constants not equal to e sinx zero. Evaluate m +n+p+q+r. A -5 B 5 D) 3arrow_forwardX² (x5 + 7) 5 This can be transformed into a basic integral by letting Consider the indefinite integral U du and du da Performing the substitution yields the integral dx:arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage