how would you do the integral of the sin(square root x)
? I just can't seem to get started

  1. 👍
  2. 👎
  3. 👁
  1. Let y = sqrt x.
    Then y^2 = x
    and 2y dy = dx
    That makes your integral the same as
    the integral of 2y sin y dy
    which can be solved using integration by parts.
    The integral is 2 sin y - 2 y cos y
    = 2 sin (sqrt x) - 2 sqrt x cos(sqrt x)

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions


    1) Which of these is a rational number? a. Pi b. Square root 3 ****** c. Square root 2 d. 1.3 (the # 3 has a line at the top) 2) Which of the following sets contains 3 irrational numbers? a. Square root 120 , n , Square root 3

  2. Calculus

    1. Find the domain for the particular solution to the differential equation dy/dx=3y/x, with initial condition y(1) = 1. A. x > 0 B. x < 0 C. x ≠ 0 D. All real numbers 2. Use geometry to evaluate the integral from negative 2 to

  3. math

    1. Which of the following numbers is a rational? A. 4/5 B. square root of 27 C. 4.02002000200002... D. Square root of 31 2. Which type of number is shown below? 0.313311333111... A. repeating decimal B. rational C. irrational D.


    1, Factor each expression x^2 - 10x - 24 A. (x + 4)(x - 6) B. (x + 6)(x - 4) C. (x + 2)(x - 12) D. (x + 12)(x - 2) 2, x^2 - 36 = 0 A. (1 + square root of 3, 1 - square root of 3) B. (-6,6) C. No solution D. None of these 3, Factor

  1. Calculus

    What is the best substitution to make to evaluate the integral of the quotient of cosine of 2 times x and the square root of the quantity 5 minus 2 times the sine of 2 times x, dx? u = sin(2x) u = cos(2x) u = 2x u = 5 − 2sin(2x)

  2. math

    1)In triangle ABC, C=60 degrees, a=12, and b=5. Find c. A)109.0 B)10.4 C)11.8 D)15.1 I chose B 2)Which triangle should be solved by beginning with the Law of Cosines? A)A=115 degrees, a=19, b=13 B)A=62 degrees, B=15 degrees, b=10

  3. algebra

    1)Write the expression 9n^6+7n^3-6 in quadratic form,if possible A.9(n^3)^3+7n^3-6 B.9(n^2)^3+7(n^2)-6 C.9(n^3)^2+7(n^3)-6 D.not possible I'm thinking C on this one but im not sure 2)solve b^4+2b^2-24=0 A.-2,-square root of

  4. Calculus

    I am trying to find the integral of e^(6x)sin(7x). Apparently, the answer is (6e^(6x)sin(7x) - 7e^(6x)cos(7x))/85) + C and achieving the answer is mostly understandable since it involves integrating the function in parts... that

  1. Math Help!

    Which two square roots are used to estimate square root 67? A. Square root 36 and Square root 49. B. Square root 49 and Square root 64. C. Square root 64 and Square root 81. D. Square root 81 and Square root 100. Is the answer C?

  2. math

    Four students work to find an estimate for square root 37. Who is closest to finding the true estimate? (1 point) Rhonda: "Use square root 16 and square root 25 to estimate." Ricardo: it should be between square root 25 and square

  3. help riemann sums

    the expression 1/50 (1/50 +2/50+ 3/50+ .....50/50)is a Reimann sum approximation for (everything in the parantheses is square root except the 1/50 outside the paratheses) the answer has to me the integral form so from looking at

  4. Tirginometry

    the expression 4ab(square root of)2b-3a(square root of)18b^3+7ab(square root of)6b is equivalent to... (a)2ab(square root of)6b (b)16ab(square root of)2b (c)-5ab+7ab(square root of)6b (d)-5ab(square root of)2b+7ab(square root

You can view more similar questions or ask a new question.