Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §7.3 Trigonometric Substitutions, #52 · Calculus · Techniques of integration

(d)

What substitution $u = x + b$ or $u = x - b$ will remove the linear term?

(a) $\int \frac{d x}{x ^{2} - 4 x + c}$

(b) $\int \frac{d x}{3 x ^{2} + 6 x}$

(c) $\int \frac{d x}{- x ^{2} + 10 x + c}$

(d) $\int \frac{d x}{2 x ^{2} - x}$

~11 minWritten answer · check your work with Lemma

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §7.3 Trigonometric Substitutions, #52

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.