The rate of depreciation of a building is given by D'(t) = 5000(20 – t) dollars per year, 0 < t < 20; see the following figure. D'(t) 100 000 80 000 60 000 40 000 20 000 10 15 20 (a) Use the graph to find the total depreciation of the building over the first 10 years (t = 0 to t = 10). 2$ (b) Use the definite integral to find the total depreciation over the first 10 years. $

Q: Find the indefinite integral. (Use C for the constant of integration.) cos5 t dt

A: ∫un du =un+1n+1+C

Q: Find the indefinite integral. (Use C for the constant of integration.) dx 49 + e4x

A:

Q: In the given equation as follows , find the indefinite integral using the substitution x =5 sec θ.…

A: In some cases integral can be simplified to standard integrals by an appropriate substitution. For…

Q: Find the indefinite integral. (Use C for the constant of integration.) tan5 dx sec x

A: We have to find the integral of the given expression   The expression is   ∫tan5xsec8(x)dx

Q: 1 2 -5) dx x3

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) tan2 dx secº x

A: The objective is to evaluate∫tan2xsec5xdx. The formula for integration is ∫xndx=xn+1n+1+c

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(3at) dt

A:

Q: To evaluate the definite integral of a function f from a to b, we just need to find its…

A: To evaluate a definite integral of a function f we at first need to find the antiderivative of f.

Q: Find the indefinite integral. (Use c for the constant of integration.) [07- 7i- 8tj + In(t)k) dt.

A: Given the integral                    ∫(7i-8tj+ln(t)k) dt

Q: Find the indefinite integral. (Use C for the constant of integration.) de cos(0) – 1

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) sin 30 de

A: Let's find.

Q: Note that the solution of the DE: y(x) = e* (S e*~*dx +C) contains an anti derivative which has no…

A: Note: As there is not any point as d. So we cannot solve question h.. Here is the solution of f…

Q: Find the indefinite integral. (Use C for the constant of integration.) sin(a^) « dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.)

A: Given:

Q: Find the indefinite integral. (Use C for the constant of integration. sin* 30 de

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) dx x2 + 3

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 1 sin dx

A: Let I=∫sin1x6x7dx

Q: Find the indefinite integral. (Use C for the constant of integration.) -0.1x dx –10e0.1x + C

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) de cos(e) -

A: The solution of given problem is follows as

Q: Find the general indefinite integral. (Use C for the constant of integration.) (Sx² + 8 +) dx 4 x2 +…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 7e(x8 – 2) dx

A: In this question, we need to find the indefinite integral.

Q: Find the indefinite integral. (Use C for the constant of integration.) 2 dx

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 175 dx e¯* + 1

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 9x° + 5 (+9 dx (x° + 5x)-

A: To evaluate the given indefinite integral.

Q: Find the indefinite integral. (Use C for the constant of integration.) .5 cos dt sin t

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) 2 4x2 + 8 + dx x2 + 1

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.7 + 9x3.5) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) cos5 t dt V sin t

A:

Q: Find the indefinite integral below and check your work by differentiation: 1 S Væ + -dx

A: Solution: The objective is to find the value of given integral

Q: The rate at which a substance grows is given by R'(x) = 195 e 0.5X, where x is the time (in days).…

A: This question can be solved by integrating R'(x) with proper limits.

Q: (ii) Estimate the integral I 1.4 sinx-log.x+e*dx 02 by using trapezoidal rule with h=0.2 correct to…

A: We can solve using trapezoidal rule

Q: Given the integral 6x + 9 dx 2 Use the integral table to help you find the Anti Derivative of the…

A:

Q: Find the indefinite integral using the substitution x = 3 sin(0). (Use C for the constant of…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) x cos 2nx? dx

A: Given indefinite integral is ∫xcos2πx2dx Let, 2πx2=t⇒4πxdx=dt⇒xdx=14πdt

Q: Find the indefinite integral. (Use c for the constant of integration.) cos° x sin x dx ()30 + 30+

A:

Q: Q1- Express of the integral in term of Gamma function and simplify where possible r°e-2x dx.

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) cos t dt sin t

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.2 + 9x3.5) dx

A: It is indefinite integration problem.

Q: Find the indefinite integral. (Use C for the constant of integration.) + 7X dx 1)e*?

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) 3 4x2 + 5 + dx 2 X +…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) -5 dx (x² + 5)3/2

A: By using trigonometric substitution and Pythagoras theorem we calculate the given integral. See the…

Q: Find the indefinite integral. (Use C for the constant of integration.) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 10 de cos(e) – 1

A:

Q: Find the indefinite integral. (Use C for the constant of integration. 9. de cos(8) – 1

A: The given integral is ∫9cos(θ)-1 The trigonometric identity is cos θ=1-2sin2θ2 Integration of…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 6 + 9x dx (x8 + 1)e*³.

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) dx | x(In(x²))5

A: This is the indefinite integral problem

Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.8 + 9x3.5) dx

A: Given, ∫ x1.8+9x3.5dx