Calculus Integration Worksheets Bundle | Reverse Chain & Power Rule

Three worksheets on integrating powers, sums and differences, trigonometric functions, exponential and logarithmic functions and using the reverse of the chain rule. Detailed solutions are included.

Master fundamental calculus techniques with this comprehensive, no-prep Calculus Integration Worksheets Bundle! Aligned to A-Level Maths and international school curriculum objectives, this extensive, ready-to-print resource packet covers the power rule, trigonometric functions, exponentials, and the reverse chain rule. Complete with highly detailed, step-by-step worked solutions, it is the ultimate time-saving tool for main lessons, independent practice, maths homework, or exam revision.

Are your advanced mathematics students struggling with antiderivatives and integration rules? Simplify your calculus lesson planning with this high-utility Calculus Integration Resource Pack. This packet contains 3 carefully structured worksheets (featuring 72 unique problems in total) designed to build algebraic confidence and computational fluency across all core integration methods.
Every single problem page comes paired with a highly detailed, full-solution worked answer key that maps out the exact algebraic adjustments, fractional simplifications, and constant rules required to find the correct answer. It is perfect for student self-assessment, small group intervention, or fast and easy teacher marking!

What’s Inside this Worksheet Pack?
• Worksheet 1 (Core Rules & Trigonometry): 20 comprehensive questions focusing on polynomial power rules, negative indices, exponentials, and fundamental trigonometric functions (sin, cos, sec, cosec, tan, cot).
• Worksheet 2 (Powers, Sums & Differences): 32 rigorous questions practicing binomial expansions, fractional indices, radical roots, splitting algebraic fractions, and polynomial expressions.
• Worksheet 3 (The Reverse Chain Rule): 20 advanced questions targeting linear composite functions using the reverse chain rule across brackets, exponential powers, logarithmic integration, and complex trig arguments.
• Teacher Answer Keys: Full, step-by-step visual worked solutions matching every single student worksheet page.

Why Teachers Love This Pack:
• Zero Prep Required: Just print out the PDF worksheets and you are ready to go!
• Scaffolded Learning: Problems move logically from basic index operations to complex algebraic rearrangements and composite functions.
• Clean Layouts: Plenty of clear white space for students to write out their complex calculus working out.
• Detailed Worked Keys: Perfect for leaving with a cover teacher or uploading to a virtual learning environment for independent review.

Curriculum Alignment:
• UK National Curriculum: Suitable for Year 12 and Year 13 Advanced Level Mathematics (Topic 7.4 - Integration fluency).
• International Baccalaureate: Matches IB DP Mathematics Higher Level (HL) Topic 5.5 core requirements.