Exam 7: Techniques of Integration

Evaluate the integral. $\int_{0}^{\pi / 2} \sin 5 x \cos x d x$

(Short Answer)

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Question 121

Evaluate the integral. $\int_{0}^{4} \frac{x}{x+36} d x$

(Short Answer)

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Question 122

Use (a) the Trapezoidal Rule and (b) Simpson's Rule to approximate the integral to four decimal places. Compare your results with the exact value. $\int_{0}^{x} 3 \sin x d x ; \quad n=4$

(Short Answer)

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Question 123

Evaluate the integral. $\int_{\sqrt{e}}^{5 e} x^{-2} \ln x d x$

(Short Answer)

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Question 124

Showing 121 - 124 of 124

Evaluate the integral. $\int_{0}^{\pi / 2} \sin 5 x \cos x d x$

Evaluate the integral. $\int_{0}^{4} \frac{x}{x+36} d x$

Use (a) the Trapezoidal Rule and (b) Simpson's Rule to approximate the integral to four decimal places. Compare your results with the exact value. $\int_{0}^{x} 3 \sin x d x ; \quad n=4$

Evaluate the integral. $\int_{\sqrt{e}}^{5 e} x^{-2} \ln x d x$

Functions and Limits

Derivatives

Applications of Differentiation

Integrals

Applications of Integration

Inverse Functions

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Final Exam

Filters

Exam 7: Techniques of Integration

Evaluate the integral. ∫0π/2sin⁡5xcos⁡xdx\int_{0}^{\pi / 2} \sin 5 x \cos x d x∫0π/2​sin5xcosxdx

Evaluate the integral. ∫04xx+36dx\int_{0}^{4} \frac{x}{x+36} d x∫04​x+36x​dx

Use (a) the Trapezoidal Rule and (b) Simpson's Rule to approximate the integral to four decimal places. Compare your results with the exact value. ∫0x3sin⁡xdx;n=4\int_{0}^{x} 3 \sin x d x ; \quad n=4∫0x​3sinxdx;n=4

Evaluate the integral. ∫e5ex−2ln⁡xdx\int_{\sqrt{e}}^{5 e} x^{-2} \ln x d x∫e​5e​x−2lnxdx

Functions and Limits

Derivatives

Applications of Differentiation

Integrals

Applications of Integration

Inverse Functions

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Final Exam

Filters

Evaluate the integral. $\int_{0}^{\pi / 2} \sin 5 x \cos x d x$

Evaluate the integral. $\int_{0}^{4} \frac{x}{x+36} d x$

Use (a) the Trapezoidal Rule and (b) Simpson's Rule to approximate the integral to four decimal places. Compare your results with the exact value. $\int_{0}^{x} 3 \sin x d x ; \quad n=4$

Evaluate the integral. $\int_{\sqrt{e}}^{5 e} x^{-2} \ln x d x$