Integration techniques Questions
Math 101 - Calculus and Linear Algebra Past Papers

Practice 14 past-paper questions for Integration techniques in Math 101 - Calculus and Linear Algebra. Get solutions and exam preparation resources.

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2. 5. The area of the region bounded by the curve y = x^2 + 1, the x-axis and ordinates x = —1 and x = 2 is

3. 6. If L [F(t)]=f(x) then [; f(x)dx=

4. 14. ∫[1/(1+x^2)]dx =

5. Evaluate the following integrals: (i) ∫[2/(x-1)]dx (ii) ∫secxdx (iii) ∫[1/(x^2+1)]dx

6. The value of $\int \log(\sin 2x) dx$ is _______.

7. Define Gamma function and evaluate ∫[0, ∞) x^3 (a^2 - x^2)^(5/2) dx using Beta and Gamma functions.

8. The value of $I'(5) =$ , where the symbol has its usual meaning.

9. State the first Fubini’s Theorem. Evaluate the integral f02 [z (4x + 2)dydx by changing the order of integration.

10. Write the equation of the cone $z = \sqrt{x^2 + y^2}$ into spherical coordinates system.

11. ## 12. What is the Newton-Raphson method formula for finding the square root of a real number R?

12. ## 18. Find the next iterative value of the root of $x^2 - 4 = 0$ using the Newton-Raphson method, if the initial guess…

13. If $F(x) = \int_0^x \sin t dt$, then $\frac{dF}{dx}$ is

14. Evaluate the following integrals: $\int (1+2x-3x^2)dx$

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