Purchase Solution

Integrals : integral(0 to pi/8) sec^2(2x)tan^3(2x) dx and integral(dx/xlnx^2)

Not what you're looking for?

Ask Custom Question

1) integral(0 to pi/8) sec^2(2x)tan^3(2x) dx

2) integral(dx/xlnx^2) note: only the x is being squared not the whole (lnx)^2

Purchase this Solution
Solution Summary

Integrals are found. The solution is detailed and well presented.

Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

Mathematics, Calculus
Year 1
Integrals ...

Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

View More Free Quizzes
Related BrainMass Solutions

  • Trigonometric Integrals and Integration by Substitution

    19) ∫ ( sec^6(t)) dt 20) ∫ (from 0 to pi/4 on top) (sin^4 (theta)) (tans^4 (theta)) dtheta 21) ∫ (from 0 to pi/3 on top) (tan^5 (x)) (sec^4 (x)) dx 22) ∫ ( tan^3 (2x)) (sec^5 (2x)) dx 23) ∫ ( tan^3 (x)) (sec (x)) dx 24) ∫ (from 0 to pi/3 on top)

  • Trigonometric Integrals

    111678 Trigonometric Integral Descriptions See attached file for full problem description. Only circled questions to be done. 1. Integration 0 to pi/2 cos^2x dx 2. Integrate Sec^2(2c-1)dx 3.

  • Differential Equations and Indefinite Integrals

    Problem: Find the derivative of the function f(x)= y=arccot(tan(2x + 3)) Solution: Let tan(2x + 3)=t Then y= arcCot(t) dy/dt=-1/〖(1+t)〗^2 Also, t=tan(2x + 3) dt/dx=2〖Sec〗^2 (2x+3) Now, dy/dx=dy/dt×dt/dx=-1/(1+t)^2 ×2〖Sec〗^2 (2x+3) Or,dy/dx

  • Calculus problems

    Ans is [3x^2y^2 - 2x] / [ 3y^2 - 2x^3y] 16) limit as x approaches infinity of x^2/xlnx =? Ans is infinity? Explain. 15) Integral of lnx/x dx. Answer is (ln x)^2/ 2 + C.

  • Inverse Trigonometric Functions (15 Problems), Derivatives (7 Problems) and Definite Integrals (8 Problems)

    dt 2) ∫ (from 0 to 1 on top) [4 / (t^2 + 1)] dt 3) ∫ (from 0 to SQRT3 / 4 on top) [dx / (1+ 16x^2)] 4) ∫ (from 0 to 1 / 2 on top) [sin^-1 (x) / (1-x^2)] dx 5) ∫ [dt / (SQRT(1-4t^2)] 6) ∫ [6 / (SQRT(1-t^2))]

  • Review Questions in Calculus

    Integral 1/(x^2+2x+1)+1 dx= A) cot(x+1) + C B) tan-1(x2+2x+1) C) cot(x2+2x+1) + C D) tan-1(x+1) + C 8. What is the arc length of h(x) = x^0.5 for x∈[0, 5]?

  • Integration by Parts and Integration by Substitution (30 Problems)

    ) dtheta, u=theta, du=sec^2(theta) dtheta Evaluate the integral 1) ∫ x cos 5x dx 2) ∫ (x)(e)^(-x) dx 3) ∫ re^(r/2) dr 4) ∫ t sin 2t dt 5) ∫ x^2 sin pix dx 6) ∫ x^2 cos mx dx 7) ∫ ln(2x+1) dx 8)

  • Solutions to Various First Order ODEs

    The integrating factor is given by mu(x) = exp(integral(tan x dx)) = exp(ln(sec x)) = sec x. Multiplying both sides by mu(x) we obtain sec x dy/dx + y tan x sec x = sec^2 x (y sec x)' = sec^2 x.

  • 12 Problems - Integrals : Sum of Partial Fractions and Volume of Solid of Revolution

    In each the integrand is a rational function decomposed into partial fractions 18) integral 2x^2+5x-1/[x(x^2-1)] dx 20) integral x^2-x+3/[x^2(x-1)] dx Find the integrals 26) integral x^3 + 1/ x^3-1 dx 30) integral x+2/x(x-1)^2 dx 34)

View More Related Solutions