Finding an Indefinite
Want to see the full answer?
Check out a sample textbook solutionChapter 8 Solutions
Bundle: Calculus: Early Transcendental Functions, 7th + Webassign, Multi-term Printed Access Card
- Finding an Indefinite Integral In Exercises 9–30, find the indefinite integral and check the result by differentiation. x(5x2 + 4)° dx 15. 16. x? ;dx (1 + x³)? 6x? 23. 24. dx (4x3 – 9)3 -arrow_forwardK Use the definition of the definite integral to evaluate f(x²-2) dx. ju (x²-2) dx = (Type an integer or a simplified fraction.)arrow_forward√r² - a² (2) Find the integrals: x² √36x² S sv •S x² √36 + x² dx dxarrow_forward
- Rational Function Is y=xx1+x a rational function?arrow_forwardEvaluate the indefinite integral. S(2+ 12VF -. (2 + 12Vx dx Evaluate the indefinite integral. (x³ – 10x)(xª – 20x² + 6)5 dx - Evaluate the indefinite integral. x2 + 2x dx x3 + 3x² + 7arrow_forwardCalculate Total Area Under a Function Using Geometric Formulas Question Given the function f(x)=2x−4, find the total area between f(x) and the x-axis over the interval [−2,7].arrow_forward
- Evaluate the integral dx (a) Find and use a substitution, which leads to integration of a rational function. (b) Is the obtained rational function proper or improper? If improper, use the long division to simplify. Do not skip any steps. (c) Use partial fraction decomposition to reduce the rational function to a sum of elementary rational functions. Show all the steps. (d) Evaluate the integral (do not forget to return to the original variable).arrow_forwardln(x-1)+ln(x+2)=1arrow_forwardEvaluate the definite integrals using properties of the definite integral and the fact that 3 · [²³ƒ (2) a (a) (b) (c) (d) L2 3 1³ (2) f(x) dx = -5, |6f (2) dx = [Number 3 f(x) dx = [Number 3 [³ (ƒ (2) – 9 (x)) dx = [Number (2f (x) + 3g (x)) dx = Number 3 ³ [₁³9 (₂² f (x) dx = 9, and g(x) dx = 2.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:CengageFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning